Find which of the following are the solutions of equation 6x2 - x - 2 = 0 ? 1. 1/2 2. -1/2 3. 2/3

Given, ⇒ 6x2 - x - 2 = 0 ⇒ 6x2 - 4x + 3x - 2 = 0 ⇒ 2x(3x - 2) + 1(3x - 2) = 0 ⇒ (2x + 1)(3x - 2) = 0 ⇒ 2x + 1 = 0 or 3x - 2 = 0 [Using Zero-product rule] ⇒ 2x = -1 or 3x = 2 ⇒ or x = . Hence, are the solutions of equation 6x2 - x - 2 = 0.