Question

Solve the following equation by factorisation method:

10x² + 11x − 6 = 0

Answer 1

Given:

10x² + 11x − 6 = 0

a = 10, b = 11, c = −6

a × c

= 10 × (−6)

= −60

Find two numbers whose product = −60 and sum = 11.

15 and −4

Rewrite and factorise

10x² + 15x − 4x − 6 = 0

(10x² + 15x) − (4x + 6) = 0

(2x + 3) (5x − 2) = 0

2x + 3 = 0

⇒ x = `-3/2`

5x − 2 = 0

⇒ x = `2/5`

`x = -3/2 or x = 2/5`