{"id":6673,"date":"2021-10-19T18:08:35","date_gmt":"2021-10-19T12:38:35","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6673"},"modified":"2021-11-27T23:32:19","modified_gmt":"2021-11-27T18:02:19","slug":"solution-of-quadratic-equation-of-class-10","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/solution-of-quadratic-equation-of-class-10\/","title":{"rendered":"Solution of Quadratic Equation of Class 10"},"content":{"rendered":"

Here you will learn how to find solution of quadratic equation of class 10 and different methods used to solve quadratic equation.<\/p>\n

Let’s begin – <\/p>\n

Solution of Quadratic Equation Class 10<\/h2>\n

(a) The general form of quadratic equation is \\(ax^2 + bx + c\\) = 0,  a \\(\\ne\\) 0.<\/p>\n

The roots or solution of quadratic equation can be found in following manner.<\/p>\n

\n

\\(a(x^2 + {b\\over a}x + {c\\over a})\\) = 0 \\(\\implies\\) \\((x + {b\\over 2a})^2\\) + \\(c\\over a\\) – \\(b^2\\over 4a^2\\) = 0<\/p>\n

\\((x + {b\\over 2a})^2\\) = \\(b^2\\over 4a^2\\) – \\(c\\over a\\) <\/p>\n

\\(\\implies\\)  x = \\(-b \\pm \\sqrt{b^2 – 4ac}\\over 2a\\)<\/p>\n<\/blockquote>\n

This \\(-b \\pm \\sqrt{b^2 – 4ac}\\over 2a\\) expression can be directly used to find the two roots of a quadratic equation. This formula is known as sridharacharya formula.<\/p>\n

(b) This expression \\(b^2 – 4a\\) = D<\/strong> is called the discriminant of the quadratic equation.<\/p>\n

Example<\/strong><\/span> : Find the roots of the quadratic equation \\(x^2 + 3x + 2\\) = 0. Also find sum of roots and product of roots.<\/p>\n

Solution<\/span><\/strong> : We have, \\(x^2 + 3x + 2\\) = 0<\/p>\n

By using the formula described above,<\/p>\n

x = \\(-3 \\pm \\sqrt{9 – 8}\\over 2\\) = \\(-3 \\pm 1\\over 2\\)<\/p>\n

\\(\\implies\\) x = -1 and -2<\/p>\n

Let \\(\\alpha\\) = -1 and \\(\\beta\\) = -2<\/p>\n

Sum of Roots = \\(\\alpha + \\beta\\) = -3<\/p>\n

Product of Roots = \\(\\alpha \\beta\\) = 2<\/p>\n

Different Methods for Solving Quadratic Equation<\/h2>\n

Following three methods are used to solve quadratic equation. These methods are discussed in detail in next sections.<\/p>\n

(1) By the method of factorisation<\/a>.<\/p>\n

(2) By the method of completing the square<\/a>.<\/p>\n

(3) By the quadratic formula<\/a><\/p>\n\n\n

\n
Next – Solve Quadratic Equation by Factorisation<\/a><\/div>\n<\/div>\n\n\n\n
\n
Previous – Roots of Quadratic Equation<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Here you will learn how to find solution of quadratic equation of class 10 and different methods used to solve quadratic equation. Let’s begin –  Solution of Quadratic Equation Class 10 (a) The general form of quadratic equation is \\(ax^2 + bx + c\\) = 0,  a \\(\\ne\\) 0. The roots or solution of quadratic …<\/p>\n

Solution of Quadratic Equation of Class 10<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[42],"tags":[560,568],"yoast_head":"\nSolution of Quadratic Equation of Class 10 - Mathemerize<\/title>\n<meta name=\"description\" content=\"In this post you will learn how to find solution of quadratic equation of class 10 and different methods used to solve quadratic equation.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/solution-of-quadratic-equation-of-class-10\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Solution of Quadratic Equation of Class 10 - 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