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4.2 Definition

Any equation of the form ax2+ bx + c = 0, where a, b, c are real numbers and a ¹ 0 is called Quadratic equation in the variable x.

Solution of a quadratic equation :

The value of the variable for which the two sides of a quadratic equation becomes equal is called a solution or root of the quadratic equation.

The set of roots (solutions ) is called the solution set.

Solving a quadratic equation means finding its roots

Example



Solution :

 Determine whether the values given against the quadratic equation ar roots of that equation. x2 - 6x + 5 = 0 , x = 1, 3, 5

I) Using x = 3, L. H. S = 1 - 6 + 5 = 0 R. H. S.

\ For x = 1, L. H. S = R. H. S

\ x = 1 is a root.

II) Using x = 3, L. H. S = 9 - 18 + 5 = - 4 ¹ R. H. S
therefore, x = 3 is not a root.

III) Using x = 5, L. H. S = 25 - 30 + 5 = 0 = R. H. S
therefore, x = 5 is a root

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Index

4.1 Theorem
4.2 Definition
4.3 Methods of Solving Quadratic Equations

Chapter 5

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