{"id":531236,"date":"2026-03-16T14:00:53","date_gmt":"2026-03-16T07:00:53","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=531236"},"modified":"2026-03-16T14:00:53","modified_gmt":"2026-03-16T07:00:53","slug":"cong-thuc-delta-phay-bi-quyet-giai-nhanh-phuong-trinh-bac-hai","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/cong-thuc-delta-phay-bi-quyet-giai-nhanh-phuong-trinh-bac-hai\/","title":{"rendered":"C\u00f4ng th\u1ee9c Delta ph\u1ea9y: B\u00ed quy\u1ebft gi\u1ea3i nhanh ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">Delta ph\u1ea9y l\u00e0 m\u1ed9t bi\u1ebfn th\u1ec3 r\u00fat g\u1ecdn c\u1ee7a c\u00f4ng th\u1ee9c Delta truy\u1ec1n th\u1ed1ng d\u00f9ng \u0111\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai. C\u00f4ng th\u1ee9c n\u00e0y gi\u00fap \u0111\u01a1n gi\u1ea3n h\u00f3a ph\u00e9p t\u00ednh, gi\u1ea3m sai s\u00f3t v\u00e0 \u0111\u1eb7c bi\u1ec7t h\u1eefu \u00edch khi h\u1ec7 s\u1ed1 c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 gi\u00e1 tr\u1ecb l\u1edbn ho\u1eb7c l\u1ebb.<\/span><\/p>\n<p><b>Th\u00f4ng tin nhanh v\u1ec1 c\u00f4ng th\u1ee9c Delta ph\u1ea9y:<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Delta ph\u1ea9y k\u00fd hi\u1ec7u l\u00e0 \u0394&#8217;, t\u00ednh theo c\u00f4ng th\u1ee9c: \u0394&#8217; = (b&#8217;)\u00b2 &#8211; a\u00b7c, v\u1edbi b&#8217; = b\/2.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Gi\u00fap gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai nhanh, tr\u00e1nh thao t\u00e1c v\u1edbi s\u1ed1 l\u1edbn v\u00e0 l\u1ebb.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u00c1p d\u1ee5ng hi\u1ec7u qu\u1ea3 cho c\u00e1c b\u00e0i to\u00e1n l\u1edbp 9, l\u1edbp 12 v\u00e0 luy\u1ec7n thi.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Nghi\u1ec7m \u0111\u01b0\u1ee3c t\u00ednh qua \u0394&#8217;: x = [-b&#8217; \u00b1 \u221a\u0394&#8217;] \/ a.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0110\u01b0\u1ee3c d\u00f9ng thay cho Delta truy\u1ec1n th\u1ed1ng khi h\u1ec7 s\u1ed1 b l\u00e0 s\u1ed1 ch\u1eb5n ho\u1eb7c s\u1ed1 l\u1ebb kh\u00f3 chia \u0111\u00f4i.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Ph\u1ed5 bi\u1ebfn trong s\u00e1ch gi\u00e1o khoa to\u00e1n v\u00e0 \u0111\u1ec1 thi c\u00e1c c\u1ea5p.<\/span><\/li>\n<\/ul>\n<h2><b>1. Delta ph\u1ea9y v\u00e0 Delta l\u00e0 g\u00ec?\u00a0<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Delta ph\u1ea9y l\u00e0 m\u1ed9t c\u00f4ng c\u1ee5 quan tr\u1ecdng gi\u00fap \u0111\u01a1n gi\u1ea3n h\u00f3a qu\u00e1 tr\u00ecnh gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai thay v\u00ec s\u1eed d\u1ee5ng Delta truy\u1ec1n th\u1ed1ng. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 nh\u1eefng th\u00f4ng tin c\u1ea7n bi\u1ebft v\u1ec1 \u0111\u1ecbnh ngh\u0129a, m\u1ed1i quan h\u1ec7, \u0111i\u1ec3m kh\u00e1c bi\u1ec7t v\u00e0 l\u1ee3i \u00edch c\u1ee7a vi\u1ec7c s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c n\u00e0y.<\/span><\/p>\n<h3><b>1.1. Delta Ph\u1ea9y l\u00e0 g\u00ec?<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Delta ph\u1ea9y (k\u00fd hi\u1ec7u: \u0394&#8217;) l\u00e0 m\u1ed9t bi\u1ebfn th\u1ec3 c\u1ee7a c\u00f4ng th\u1ee9c Delta, d\u00f9ng \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai d\u01b0\u1edbi d\u1ea1ng ax\u00b2 + bx + c = 0. C\u00f4ng th\u1ee9c n\u00e0y thay th\u1ebf vi\u1ec7c t\u00ednh to\u00e1n tr\u1ef1c ti\u1ebfp v\u1edbi Delta (\u0394 = b\u00b2 &#8211; 4ac) b\u1eb1ng c\u00e1ch chia \u0111\u00f4i h\u1ec7 s\u1ed1 b \u0111\u1ec3 \u0111\u01a1n gi\u1ea3n h\u01a1n.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Delta ph\u1ea9y th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng khi h\u1ec7 s\u1ed1 b l\u00e0 s\u1ed1 ch\u1eb5n ho\u1eb7c s\u1ed1 l\u1ebb kh\u00f3 x\u1eed l\u00fd, gi\u00fap gi\u1ea3m thao t\u00e1c v\u1edbi s\u1ed1 l\u1edbn trong ph\u00e9p t\u00ednh, t\u1eeb \u0111\u00f3 h\u1ea1n ch\u1ebf nh\u1ea7m l\u1eabn v\u00e0 ti\u1ebft ki\u1ec7m th\u1eddi gian. Delta ph\u1ea9y \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c: \u0394&#8217; = (b\/2)\u00b2 &#8211; a\u00b7c, trong \u0111\u00f3 b&#8217; = b\/2.<\/span><\/p>\n<p><b>M\u1ee5c \u0111\u00edch ra \u0111\u1eddi c\u1ee7a c\u00f4ng th\u1ee9c delta ph\u1ea9y: <\/b><span style=\"font-weight: 400;\">Nh\u1eb1m \u0111\u01a1n gi\u1ea3n h\u00f3a ph\u00e9p t\u00ednh to\u00e1n, \u0111\u1eb7c bi\u1ec7t khi b l\u00e0 s\u1ed1 l\u1ebb ho\u1eb7c s\u1ed1 l\u1edbn, t\u0103ng \u0111\u1ed9 ch\u00ednh x\u00e1c v\u00e0 gi\u1ea3i nhanh ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai.<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/cong-thuc-delta-phay-1.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/cong-thuc-delta-phay-1-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/cong-thuc-delta-phay-1-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-531265 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-1.jpg\" alt=\"cong-thuc-delta-phay-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3><b>1.2. M\u1ed1i quan h\u1ec7 gi\u1eefa c\u00f4ng th\u1ee9c Delta v\u00e0 Delta ph\u1ea9y<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c delta truy\u1ec1n th\u1ed1ng:<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">\u0394 = b\u00b2 &#8211; 4ac. \u0110\u00e2y l\u00e0 c\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh s\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Kh\u00e1c bi\u1ec7t gi\u1eefa Delta v\u00e0 Delta ph\u1ea9y:<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">\u0110i\u1ec3m chung l\u00e0 c\u1ea3 hai \u0111\u1ec1u x\u00e1c \u0111\u1ecbnh s\u1ed1 nghi\u1ec7m v\u00e0 gi\u00e1 tr\u1ecb nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai. Tuy nhi\u00ean, delta ph\u1ea9y thay th\u1ebf b b\u1eb1ng b&#8217;, gi\u00fap ph\u00e9p t\u00ednh tr\u1edf n\u00ean \u0111\u01a1n gi\u1ea3n h\u01a1n.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Ph\u00e2n bi\u1ec7t delta v\u00e0 delta ph\u1ea9y:<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">&#8211; Delta: d\u00f9ng tr\u1ef1c ti\u1ebfp h\u1ec7 s\u1ed1 b, th\u01b0\u1eddng g\u00e2y kh\u00f3 kh\u0103n khi b l\u00e0 s\u1ed1 l\u1ebb ho\u1eb7c l\u1edbn.<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">&#8211; Delta ph\u1ea9y: chia \u0111\u00f4i b, ph\u00e9p t\u00ednh g\u1ecdn v\u00e0 d\u1ec5 ki\u1ec3m so\u00e1t h\u01a1n.<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Hai c\u00f4ng th\u1ee9c li\u00ean h\u1ec7 qua: \u0394 = 4\u0394&#8217;.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u1ea1i sao c\u00f3 c\u00f4ng th\u1ee9c delta ph\u1ea9y v\u00e0 khi n\u00e0o d\u00f9ng?<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c delta ph\u1ea9y ra \u0111\u1eddi \u0111\u1ec3 t\u1ed1i \u01b0u h\u00f3a ph\u00e9p t\u00ednh, \u0111\u1eb7c bi\u1ec7t khi gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai trong c\u00e1c b\u00e0i to\u00e1n th\u1ef1c t\u1ebf ho\u1eb7c \u0111\u1ec1 thi tr\u1eafc nghi\u1ec7m c\u1ea7n t\u1ed1c \u0111\u1ed9, \u0111\u1ed9 ch\u00ednh x\u00e1c.<\/span><\/li>\n<\/ul>\n<h3><b>1.3 L\u1ee3i \u00edch c\u1ee7a vi\u1ec7c s\u1eed d\u1ee5ng Delta ph\u1ea9y<\/b><\/h3>\n<p><b>L\u1ee3i \u00edch c\u1ee7a vi\u1ec7c s\u1eed d\u1ee5ng delta ph\u1ea9y:<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0110\u01a1n gi\u1ea3n h\u00f3a ph\u00e9p t\u00ednh, h\u1ea1n ch\u1ebf nh\u1ea7m l\u1eabn.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Tr\u00e1nh thao t\u00e1c v\u1edbi s\u1ed1 l\u1edbn, s\u1ed1 l\u1ebb.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Gi\u00fap h\u1ecdc sinh ghi nh\u1edb c\u00f4ng th\u1ee9c nghi\u1ec7m d\u1ec5 d\u00e0ng h\u01a1n.<\/span><\/li>\n<\/ul>\n<p><b>So s\u00e1nh hi\u1ec7u qu\u1ea3 khi gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh: <\/b><span style=\"font-weight: 400;\">Khi gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai m\u00e0 b l\u00e0 s\u1ed1 l\u1ebb ho\u1eb7c l\u1edbn, delta ph\u1ea9y gi\u00fap r\u00fat ng\u1eafn quy tr\u00ecnh, gi\u1ea3m nguy c\u01a1 sai s\u1ed1 so v\u1edbi Delta truy\u1ec1n th\u1ed1ng.<\/span><\/p>\n<h2><b>2. C\u00f4ng th\u1ee9c v\u00e0 c\u00e1ch t\u00ednh Delta ph\u1ea9y<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c delta ph\u1ea9y \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng \u0111\u1ec3 \u0111\u01a1n gi\u1ea3n h\u00f3a b\u01b0\u1edbc t\u00ednh to\u00e1n Delta, gi\u00fap gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai nhanh ch\u00f3ng, ch\u00ednh x\u00e1c h\u01a1n. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 chi ti\u1ebft c\u00e1ch t\u00ednh, ch\u1ee9ng minh v\u00e0 \u1ee9ng d\u1ee5ng c\u00f4ng th\u1ee9c n\u00e0y.<\/span><\/p>\n<h3><b>2.1. C\u00f4ng th\u1ee9c Delta ph\u1ea9y c\u01a1 b\u1ea3n<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\"><b>C\u00f4ng th\u1ee9c delta ph\u1ea9y:<\/b><span style=\"font-weight: 400;\"> \u0394&#8217; = (b&#8217;)\u00b2 &#8211; a\u00b7c, v\u1edbi b&#8217; = b\/2.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>b ph\u1ea9y b\u1eb1ng g\u00ec? <\/b><span style=\"font-weight: 400;\">b ph\u1ea9y (b&#8217;) l\u00e0 m\u1ed9t n\u1eeda c\u1ee7a h\u1ec7 s\u1ed1 b: b&#8217; = b\/2.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>Ch\u1ee9ng minh c\u00f4ng th\u1ee9c delta ph\u1ea9y: <\/b><span style=\"font-weight: 400;\">Xu\u1ea5t ph\u00e1t t\u1eeb c\u00f4ng th\u1ee9c Delta truy\u1ec1n th\u1ed1ng<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">\u0394 = b\u00b2 &#8211; 4ac<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">Thay b = 2b&#8217;, ta c\u00f3:<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">\u0394 = (2b&#8217;)\u00b2 &#8211; 4ac = 4b&#8217;\u00b2 &#8211; 4ac = 4(b&#8217;\u00b2 &#8211; ac) = 4\u0394&#8217;<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">V\u1eady \u0394 = 4\u0394&#8217; hay \u0394&#8217; = \u0394\/4.<\/span><\/li>\n<\/ul>\n<p><b>Delta ph\u1ea9y c\u00f3 ph\u1ea3i b&#8217; b\u00ecnh ph\u01b0\u01a1ng tr\u1eeb ac kh\u00f4ng? <\/b><span style=\"font-weight: 400;\">\u0110\u00fang. Delta ph\u1ea9y \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng b&#8217; b\u00ecnh ph\u01b0\u01a1ng tr\u1eeb a nh\u00e2n c: \u0394&#8217; = (b\/2)\u00b2 &#8211; a\u00b7c.<\/span><\/p>\n<table style=\"height: 362px;\" width=\"700\">\n<tbody>\n<tr>\n<td><b>Bi\u1ebfn s\u1ed1<\/b><\/td>\n<td><b>\u00dd ngh\u0129a<\/b><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">a<\/span><\/td>\n<td><span style=\"font-weight: 400;\">H\u1ec7 s\u1ed1 b\u1eadc hai c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh ax\u00b2 + bx + c = 0<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">b<\/span><\/td>\n<td><span style=\"font-weight: 400;\">H\u1ec7 s\u1ed1 b\u1eadc nh\u1ea5t<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">c<\/span><\/td>\n<td><span style=\"font-weight: 400;\">H\u1ec7 s\u1ed1 t\u1ef1 do<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">b&#8217;<\/span><\/td>\n<td><span style=\"font-weight: 400;\">b\/2 (m\u1ed9t n\u1eeda h\u1ec7 s\u1ed1 b)<\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"font-weight: 400;\">\u0394&#8217;<\/span><\/td>\n<td><span style=\"font-weight: 400;\">Delta ph\u1ea9y: (b&#8217;)\u00b2 &#8211; a\u00b7c<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><b>2.2. C\u00f4ng th\u1ee9c nghi\u1ec7m v\u1edbi Delta ph\u1ea9y<\/b><\/h3>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"font-weight: 400;\"><b>C\u00f4ng th\u1ee9c nghi\u1ec7m delta ph\u1ea9y t\u1ed5ng qu\u00e1t:<\/b><b><br \/>\n<\/b><span style=\"font-weight: 400;\">x\u2081 = [-b&#8217; + \u221a\u0394&#8217;] \/ a<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">x\u2082 = [-b&#8217; &#8211; \u221a\u0394&#8217;] \/ a<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ul>\n<li><b>Ph\u00e2n t\u00edch c\u00e1c tr\u01b0\u1eddng h\u1ee3p c\u1ee7a \u0394&#8217;:<\/b><\/li>\n<\/ul>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0394&#8217; &gt; 0: Hai nghi\u1ec7m ph\u00e2n bi\u1ec7t:<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">x\u2081 = [-b&#8217; + \u221a\u0394&#8217;] \/ a, x\u2082 = [-b&#8217; &#8211; \u221a\u0394&#8217;] \/ a<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0394&#8217; = 0: Nghi\u1ec7m k\u00e9p:<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">x = -b&#8217;\/a<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0394&#8217; &lt; 0: Ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 nghi\u1ec7m (trong t\u1eadp s\u1ed1 th\u1ef1c).<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/cong-thuc-delta-phay-2.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/cong-thuc-delta-phay-2-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/cong-thuc-delta-phay-2-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-531266 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-2.jpg\" alt=\"cong-thuc-delta-phay-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><b>L\u01b0u \u00fd:<\/b><span style=\"font-weight: 400;\"> C\u00f4ng th\u1ee9c delta ph\u1ea9y ch\u1ec9 \u00e1p d\u1ee5ng cho ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai c\u00f3 a \u2260 0. N\u1ebfu a = 0 th\u00ec ph\u01b0\u01a1ng tr\u00ecnh tr\u1edf th\u00e0nh b\u1eadc nh\u1ea5t.<\/span><\/p>\n<h2><strong>3. \u1ee8ng d\u1ee5ng v\u00e0 b\u00e0i t\u1eadp delta Ph\u1ea9y<\/strong><\/h2>\n<p><span style=\"font-weight: 400;\">Delta ph\u1ea9y \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong gi\u1ea3i to\u00e1n, \u0111\u1eb7c bi\u1ec7t \u1edf ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 9 v\u00e0 luy\u1ec7n thi c\u00e1c c\u1ea5p. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 h\u01b0\u1edbng d\u1eabn chi ti\u1ebft c\u00e1ch s\u1eed d\u1ee5ng, v\u00ed d\u1ee5 minh h\u1ecda v\u00e0 c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp th\u1ef1c h\u00e0nh.<\/span><\/p>\n<h3><b>3.1. C\u00e1ch \u00e1p d\u1ee5ng delta ph\u1ea9y trong gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh<\/b><\/h3>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">X\u00e1c \u0111\u1ecbnh h\u1ec7 s\u1ed1: \u0110\u1eb7t ph\u01b0\u01a1ng tr\u00ecnh v\u1ec1 d\u1ea1ng chu\u1ea9n ax\u00b2 + bx + c = 0, x\u00e1c \u0111\u1ecbnh c\u00e1c h\u1ec7 s\u1ed1 a, b, c.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u00ednh b ph\u1ea9y: b&#8217; = b\/2.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u00ednh delta ph\u1ea9y: \u0394&#8217; = (b&#8217;)\u00b2 &#8211; a\u00b7c.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">X\u00e9t d\u1ea5u \u0394&#8217;:<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">&#8211; N\u1ebfu \u0394&#8217; &gt; 0: Ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 hai nghi\u1ec7m ph\u00e2n bi\u1ec7t.<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">&#8211; N\u1ebfu \u0394&#8217; = 0: C\u00f3 nghi\u1ec7m k\u00e9p.<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">&#8211; N\u1ebfu \u0394&#8217; &lt; 0: V\u00f4 nghi\u1ec7m trong t\u1eadp s\u1ed1 th\u1ef1c.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u00ednh nghi\u1ec7m s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c:<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">&#8211; x\u2081 = [-b&#8217; + \u221a\u0394&#8217;]\/a<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">&#8211; x\u2082 = [-b&#8217; &#8211; \u221a\u0394&#8217;]\/a<\/span><\/li>\n<\/ol>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/cong-thuc-delta-phay-3.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/cong-thuc-delta-phay-3-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/cong-thuc-delta-phay-3-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-531267 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-3.jpg\" alt=\"cong-thuc-delta-phay-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3><b>3.2. V\u00ed d\u1ee5 minh h\u1ecda c\u00f4ng th\u1ee9c delta ph\u1ea9y<\/b><\/h3>\n<p><b>V\u00ed d\u1ee5 1: <\/b><span style=\"font-weight: 400;\">Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh 2x\u00b2 &#8211; 8x + 6 = 0 b\u1eb1ng c\u00f4ng th\u1ee9c delta ph\u1ea9y.<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">X\u00e1c \u0111\u1ecbnh a = 2, b = -8, c = 6<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u00ednh b&#8217; = -8\/2 = -4<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0394&#8217; = (-4)\u00b2 &#8211; 2\u00d76 = 16 &#8211; 12 = 4<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0394&#8217; &gt; 0, ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 hai nghi\u1ec7m ph\u00e2n bi\u1ec7t:<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">x\u2081 = [-(-4) + \u221a4] \/ 2 = [4 + 2]\/2 = 6\/2 = 3<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">x\u2082 = [4 &#8211; 2]\/2 = 2\/2 = 1<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">V\u1eady nghi\u1ec7m l\u00e0 x\u2081 = 3, x\u2082 = 1<\/span><\/p>\n<p><b>V\u00ed d\u1ee5 2: <\/b><span style=\"font-weight: 400;\">Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh x\u00b2 + 5x + 6 = 0 b\u1eb1ng delta ph\u1ea9y.<\/span><\/p>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">a = 1, b = 5, c = 6<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">b&#8217; = 5\/2 = 2.5<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0394&#8217; = (2.5)\u00b2 &#8211; 1\u00d76 = 6.25 &#8211; 6 = 0.25<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0394&#8217; &gt; 0, c\u00f3 hai nghi\u1ec7m ph\u00e2n bi\u1ec7t:<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">x\u2081 = [-2.5 + 0.5]\/1 = -2<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">x\u2082 = [-2.5 &#8211; 0.5]\/1 = -3<\/span><\/li>\n<\/ol>\n<p><span style=\"font-weight: 400;\">V\u1eady nghi\u1ec7m l\u00e0 x\u2081 = -2, x\u2082 = -3<\/span><\/p>\n<h3><b>3.3. C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp \u0111\u1eb7c tr\u01b0ng v\u00e0 l\u01b0u \u00fd khi s\u1eed d\u1ee5ng<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\"><b>D\u1ea1ng 1:<\/b><span style=\"font-weight: 400;\"> Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai b\u1eb1ng delta ph\u1ea9y (cho a, b, c c\u1ee5 th\u1ec3).<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>D\u1ea1ng 2:<\/b><span style=\"font-weight: 400;\"> T\u00ecm \u0111i\u1ec1u ki\u1ec7n \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 nghi\u1ec7m k\u00e9p, nghi\u1ec7m ph\u00e2n bi\u1ec7t, v\u00f4 nghi\u1ec7m d\u1ef1a v\u00e0o d\u1ea5u c\u1ee7a \u0394&#8217;.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>D\u1ea1ng 3:<\/b><span style=\"font-weight: 400;\"> So s\u00e1nh nghi\u1ec7m, ch\u1ee9ng minh t\u00ednh ch\u1ea5t c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai th\u00f4ng qua delta ph\u1ea9y.<\/span><\/li>\n<\/ul>\n<p><b>L\u01b0u \u00fd: <\/b><span style=\"font-weight: 400;\">Kh\u00f4ng n\u00ean d\u00f9ng delta ph\u1ea9y n\u1ebfu a kh\u00f4ng kh\u00e1c 0 ho\u1eb7c h\u1ec7 s\u1ed1 b kh\u00f4ng chia h\u1ebft cho 2, tr\u1eeb khi ch\u1ea5p nh\u1eadn k\u1ebft qu\u1ea3 d\u01b0\u1edbi d\u1ea1ng ph\u00e2n s\u1ed1.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0110\u1ec3 nh\u1edb nhanh c\u00f4ng th\u1ee9c, h\u00e3y ghi nh\u1edb: &#8220;delta ph\u1ea9y b\u1eb1ng b ph\u1ea9y b\u00ecnh tr\u1eeb a c&#8221;.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">B\u1ea1n c\u00f3 th\u1ec3 th\u1eed gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp sau b\u1eb1ng delta ph\u1ea9y \u0111\u1ec3 th\u00e0nh th\u1ea1o:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Gi\u1ea3i: x\u00b2 &#8211; 6x + 8 = 0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Gi\u1ea3i: 4x\u00b2 + 4x + 1 = 0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">T\u00ecm m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh x\u00b2 + mx + 4 = 0 c\u00f3 nghi\u1ec7m k\u00e9p.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Tham kh\u1ea3o th\u00eam t\u1ea1i: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tai-phan-mem-geogebra\/\">GeoGebra \u2013 Ph\u1ea7n m\u1ec1m v\u1ebd \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1, c\u00f4ng th\u1ee9c To\u00e1n h\u1ecdc<\/a><\/span><\/p>\n<h2><b>4. C\u00e1c tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t v\u00e0 n\u00e2ng cao c\u1ee7a delta ph\u1ea9y<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Delta ph\u1ea9y ch\u1ee7 y\u1ebfu \u00e1p d\u1ee5ng cho ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai, tuy nhi\u00ean, trong m\u1ed9t s\u1ed1 tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t, b\u1ea1n c\u00f3 th\u1ec3 g\u1eb7p c\u00e1c bi\u1ebfn th\u1ec3 ho\u1eb7c m\u1edf r\u1ed9ng nh\u01b0 sau:<\/span><\/p>\n<h3><b>4.1. C\u00f4ng th\u1ee9c delta ph\u1ea9y l\u1edbp 12 v\u00e0 n\u00e2ng cao<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\"><b>Ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai t\u1ed5ng qu\u00e1t:<\/b><span style=\"font-weight: 400;\"> ax\u00b2 + bx + c = 0, c\u00f4ng th\u1ee9c nghi\u1ec7m v\u1eabn \u00e1p d\u1ee5ng nh\u01b0 l\u1edbp 9.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>C\u00e1c b\u00e0i to\u00e1n n\u00e2ng cao:<\/b><span style=\"font-weight: 400;\"> T\u00ecm \u0111i\u1ec1u ki\u1ec7n tham s\u1ed1 \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 nghi\u1ec7m th\u1ecfa m\u00e3n m\u1ed9t b\u1ea5t \u0111\u1eb3ng th\u1ee9c n\u00e0o \u0111\u00f3, d\u00f9ng delta ph\u1ea9y \u0111\u1ec3 r\u00fat g\u1ecdn.<\/span><\/li>\n<\/ul>\n<h3><b>4.2. \u1ee8ng d\u1ee5ng delta ph\u1ea9y cho ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc 3, 4<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c delta ph\u1ea9y kh\u00f4ng \u00e1p d\u1ee5ng tr\u1ef1c ti\u1ebfp cho ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc 3, 4. Tuy nhi\u00ean, n\u1ebfu ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc 3, 4 \u0111\u01b0\u1ee3c t\u00e1ch th\u00e0nh t\u00edch c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai, b\u1ea1n c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng delta ph\u1ea9y cho t\u1eebng ph\u1ea7n.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c Viet: H\u1eefu \u00edch khi c\u1ea7n li\u00ean h\u1ec7 t\u1ed5ng v\u00e0 t\u00edch nghi\u1ec7m v\u1edbi h\u1ec7 s\u1ed1. K\u1ebft h\u1ee3p delta ph\u1ea9y v\u00e0 Viet gi\u00fap gi\u1ea3i nhanh c\u00e1c b\u00e0i to\u00e1n t\u00ecm nghi\u1ec7m ho\u1eb7c ki\u1ec3m tra t\u00ednh ch\u1ea5t nghi\u1ec7m.<\/span><\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/cong-thuc-delta-phay-4.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/cong-thuc-delta-phay-4-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/cong-thuc-delta-phay-4-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-531268 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-4.jpg\" alt=\"cong-thuc-delta-phay-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/cong-thuc-delta-phay-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3><b>4.3. \u0110i\u1ec1u ki\u1ec7n \u00e1p d\u1ee5ng v\u00e0 m\u1ed9t s\u1ed1 l\u01b0u \u00fd \u0111\u1eb7c bi\u1ec7t<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u0110i\u1ec1u ki\u1ec7n d\u00f9ng delta ph\u1ea9y: a \u2260 0, b v\u00e0 c l\u00e0 s\u1ed1 th\u1ef1c. N\u1ebfu b kh\u00f4ng chia h\u1ebft cho 2, b&#8217; l\u00e0 s\u1ed1 th\u1eadp ph\u00e2n ho\u1eb7c ph\u00e2n s\u1ed1, v\u1eabn \u00e1p d\u1ee5ng b\u00ecnh th\u01b0\u1eddng.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">D\u00f9ng ph\u1ea7n m\u1ec1m t\u00ednh delta ph\u1ea9y: C\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00e1c \u1ee9ng d\u1ee5ng online ho\u1eb7c m\u00e1y t\u00ednh b\u1ecf t\u00fai \u0111\u1ec3 t\u00ednh nhanh c\u00e1c gi\u00e1 tr\u1ecb b&#8217;, \u0394&#8217;, nghi\u1ec7m.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">L\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 nh\u1edb c\u00f4ng th\u1ee9c delta ph\u1ea9y? H\u00e3y ghi nh\u1edb c\u00e2u th\u1ea7n ch\u00fa: &#8220;b ph\u1ea9y b\u00ecnh tr\u1eeb a c&#8221;, ho\u1eb7c t\u1ef1 luy\u1ec7n t\u1eadp nhi\u1ec1u l\u1ea7n v\u1edbi c\u00e1c v\u00ed d\u1ee5.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Tham kh\u1ea3o th\u00eam: <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tai-mathtype\/\">Download MathType \u2013 Ph\u1ea7n m\u1ec1m so\u1ea1n th\u1ea3o c\u00f4ng th\u1ee9c to\u00e1n h\u1ecdc<\/a><\/span><\/p>\n<h2><b>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p v\u1ec1 c\u00f4ng th\u1ee9c Delta ph\u1ea9y<\/b><\/h2>\n<h3><b>1. Delta ph\u1ea9y l\u00e0 g\u00ec v\u00e0 c\u00f3 kh\u00e1c g\u00ec so v\u1edbi Delta truy\u1ec1n th\u1ed1ng?<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Delta ph\u1ea9y l\u00e0 bi\u1ebfn th\u1ec3 c\u1ee7a c\u00f4ng th\u1ee9c Delta th\u01b0\u1eddng d\u00f9ng \u0111\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai, v\u1edbi c\u00f4ng th\u1ee9c \u0394&#8217; = (b\/2)\u00b2 &#8211; a\u00b7c. \u0110i\u1ec3m kh\u00e1c bi\u1ec7t l\u00e0 Delta s\u1eed d\u1ee5ng b\u00b2 &#8211; 4ac, c\u00f2n Delta ph\u1ea9y chia \u0111\u00f4i b \u0111\u1ec3 \u0111\u01a1n gi\u1ea3n ph\u00e9p t\u00ednh, gi\u00fap tr\u00e1nh s\u1ed1 l\u1edbn v\u00e0 l\u1ebb.<\/span><\/p>\n<h3><b>2. Khi n\u00e0o n\u00ean d\u00f9ng c\u00f4ng th\u1ee9c Delta ph\u1ea9y?<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Delta ph\u1ea9y n\u00ean \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng khi h\u1ec7 s\u1ed1 b l\u00e0 s\u1ed1 l\u1ebb ho\u1eb7c s\u1ed1 l\u1edbn, ho\u1eb7c khi b\u1ea1n mu\u1ed1n r\u00fat g\u1ecdn ph\u00e9p t\u00ednh v\u00e0 tr\u00e1nh sai s\u00f3t. Ngo\u00e0i ra, trong c\u00e1c b\u00e0i thi tr\u1eafc nghi\u1ec7m ho\u1eb7c gi\u1ea3i to\u00e1n nhanh, delta ph\u1ea9y r\u1ea5t ti\u1ec7n l\u1ee3i.<\/span><\/p>\n<h3><b>3. C\u00f4ng th\u1ee9c nghi\u1ec7m ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai d\u00f9ng Delta ph\u1ea9y l\u00e0 g\u00ec?<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c nghi\u1ec7m l\u00e0: x\u2081 = [-b&#8217; + \u221a\u0394&#8217;]\/a, x\u2082 = [-b&#8217; &#8211; \u221a\u0394&#8217;]\/a, v\u1edbi b&#8217; = b\/2 v\u00e0 \u0394&#8217; = (b&#8217;)\u00b2 &#8211; ac.<\/span><\/p>\n<h3><b>4. Delta ph\u1ea9y c\u00f3 d\u00f9ng \u0111\u01b0\u1ee3c cho m\u1ecdi ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai kh\u00f4ng?<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">\u0110\u00fang, delta ph\u1ea9y \u00e1p d\u1ee5ng cho m\u1ecdi ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai c\u00f3 a \u2260 0. Tuy nhi\u00ean, n\u1ebfu b kh\u00f4ng chia h\u1ebft cho 2, b&#8217; s\u1ebd l\u00e0 s\u1ed1 th\u1eadp ph\u00e2n ho\u1eb7c ph\u00e2n s\u1ed1, nh\u01b0ng c\u00f4ng th\u1ee9c v\u1eabn \u0111\u00fang v\u00e0 s\u1eed d\u1ee5ng \u0111\u01b0\u1ee3c.<\/span><\/p>\n<h3><b>5. L\u00e0m sao \u0111\u1ec3 nh\u1edb nhanh c\u00f4ng th\u1ee9c delta ph\u1ea9y?<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">B\u1ea1n c\u00f3 th\u1ec3 ghi nh\u1edb c\u00e2u &#8220;b ph\u1ea9y b\u00ecnh tr\u1eeb a c&#8221; ho\u1eb7c luy\u1ec7n t\u1eadp nhi\u1ec1u d\u1ea1ng b\u00e0i t\u1eadp \u0111\u1ec3 nh\u1edb c\u00f4ng th\u1ee9c. Ngo\u00e0i ra, d\u00f9ng c\u00e1c v\u00ed d\u1ee5 th\u1ef1c t\u1ebf s\u1ebd gi\u00fap b\u1ea1n ghi nh\u1edb l\u00e2u h\u01a1n.<\/span><\/p>\n<h3><b>6. C\u00f3 th\u1ec3 d\u00f9ng ph\u1ea7n m\u1ec1m hay m\u00e1y t\u00ednh \u0111\u1ec3 t\u00ednh delta ph\u1ea9y kh\u00f4ng?<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">C\u00f3. B\u1ea1n ho\u00e0n to\u00e0n c\u00f3 th\u1ec3 d\u00f9ng ph\u1ea7n m\u1ec1m online, m\u00e1y t\u00ednh b\u1ecf t\u00fai ho\u1eb7c c\u00e1c app h\u1ecdc t\u1eadp \u0111\u1ec3 t\u00ednh nhanh gi\u00e1 tr\u1ecb b&#8217;, \u0394&#8217; v\u00e0 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh.<\/span><\/p>\n<h3><b>7. Delta ph\u1ea9y c\u00f3 \u00e1p d\u1ee5ng \u0111\u01b0\u1ee3c cho ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc 3, b\u1eadc 4 kh\u00f4ng?<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Kh\u00f4ng. Delta ph\u1ea9y ch\u1ec9 d\u00f9ng cho ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai. V\u1edbi c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc 3, 4, b\u1ea1n c\u1ea7n c\u00e1c c\u00f4ng th\u1ee9c chuy\u00ean bi\u1ec7t ho\u1eb7c t\u00e1ch nh\u1ecf th\u00e0nh c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai.<\/span><\/p>\n<h3><b>8. C\u00f4ng th\u1ee9c Viet c\u00f3 li\u00ean quan g\u00ec v\u1edbi delta ph\u1ea9y kh\u00f4ng?<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">C\u00f4ng th\u1ee9c Viet d\u00f9ng \u0111\u1ec3 li\u00ean h\u1ec7 t\u1ed5ng v\u00e0 t\u00edch nghi\u1ec7m v\u1edbi h\u1ec7 s\u1ed1 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai. Delta ph\u1ea9y gi\u00fap t\u00ecm nghi\u1ec7m, c\u00f2n Viet gi\u00fap khai th\u00e1c t\u00ednh ch\u1ea5t nghi\u1ec7m. Hai c\u00f4ng c\u1ee5 th\u01b0\u1eddng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng k\u1ebft h\u1ee3p trong gi\u1ea3i to\u00e1n.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Delta ph\u1ea9y l\u00e0 m\u1ed9t bi\u1ebfn th\u1ec3 r\u00fat g\u1ecdn c\u1ee7a c\u00f4ng th\u1ee9c Delta truy\u1ec1n th\u1ed1ng d\u00f9ng \u0111\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai. C\u00f4ng th\u1ee9c n\u00e0y gi\u00fap \u0111\u01a1n gi\u1ea3n h\u00f3a ph\u00e9p t\u00ednh, gi\u1ea3m sai s\u00f3t v\u00e0 \u0111\u1eb7c bi\u1ec7t h\u1eefu \u00edch khi h\u1ec7 s\u1ed1 c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 gi\u00e1 tr\u1ecb l\u1edbn ho\u1eb7c l\u1ebb. Th\u00f4ng tin nhanh v\u1ec1 c\u00f4ng [&hellip;]<\/p>\n","protected":false},"author":91,"featured_media":531264,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29235,3910,30453],"tags":[],"class_list":["post-531236","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-goc-to-mo","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.2 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>C\u00f4ng th\u1ee9c Delta ph\u1ea9y: B\u00ed quy\u1ebft gi\u1ea3i nhanh ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai<\/title>\n<meta name=\"description\" content=\"Delta ph\u1ea9y l\u00e0 m\u1ed9t bi\u1ebfn th\u1ec3 r\u00fat g\u1ecdn c\u1ee7a c\u00f4ng th\u1ee9c Delta truy\u1ec1n th\u1ed1ng \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai.\" 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