Find the roots of the following quadratic equations by factorisation method.
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
∴ and ∴