Find the roots of the quadratic equation by factorisation method.

Given: quadratic equation

To find: Roots by factorisation method.

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:

Given,

⇒ 2x² - 5x – 3 = 0

By splitting the middle term,

⇒2x² - 6x + x – 3 = 0

Taking common in the expression,

⇒2x (x - 3) + 1 (x - 3) = 0

⇒ (2x + 1) (x - 3) = 0

⸫ 2x + 1 = 0 and x – 3 = 0

⸫ x=-1/2 and x=3