Find the roots of the following quadratic equations by factorisation method.
Given,
⇒ 6x2 + 5x – 6 = 0
By splitting the middle term,
⇒ 6x2 + 9x - 4x – 6 = 0
Taking common in the expression,
⇒ 3x (2x + 3) – 2 (2x + 3) = 0
⇒ (2x + 3) (3x - 2) = 0
∴ 2x + 3 = 0 and ∴ 3x – 2 = 0
∴ and ∴