Solve the equation by factorization method.

Given:

To find: Roots of the equation

Method Used:

To solve the quadratic equation by factorisation method, follow the steps:

1) Multiply the coefficient of x² and constant term.

2) factorise the result obtained in step 1.

3) Now choose the pair of factors in such a way that after adding or subtracting(splitting) them

You get coefficient of x.

Explanation:

Consider ,

⇒ 2ab (2x – 2a – b – 2x) = (2a + b)2x (2a + b + 2x)

⇒ 2ab (-2a – b) = 2(2a+ b) (2ax + bx + 2x²)

⇒ -ab = 2ax + bx + 2x²

⇒ 2x² + 2ax + bx + ab = 0

⇒ 2x (x + a) + b (x + a) = 0

⇒ (2x + b) (x + a) = 0

Hence the roots are .