The roots of the quadratic equation 2x2 - x - 6 = 0 are: 1. -2, 3/2 2. 2, -3/2 3. -2, -3/2 4. 2, 3/2

Given, ⇒ 2x2 - x - 6 = 0 ⇒ 2x2 - 4x + 3x - 6 = 0 ⇒ 2x(x - 2) + 3(x - 2) = 0 ⇒ (2x + 3)(x - 2) = 0 ⇒ 2x + 3 = 0 or x - 2 = 0 [Using Zero-product rule] ⇒ 2x = -3 or x = 2 ⇒ x = or x = 2 Hence, option 2 is the correct option.