One root of the quadratic equation 8x 2 + mx + 15 = 0 is . Find the value of m. Also, find other root of equation.

Given, is root of 8x 2 + mx + 15 = 0 Substituting value of m in equation, ⇒ 8x 2 + mx + 15 = 0 ⇒ 8x 2 - 26x + 15 = 0 ⇒ 8x 2 - 20x - 6x + 15 = 0 ⇒ 4x(2x - 5) - 3(2x - 5) = 0 ⇒ (4x - 3)(2x - 5) = 0 ⇒ 4x - 3 = 0 or 2x - 5 = 0 ⇒ 4x = 3 or 2x = 5 ⇒ x = or x = . Hence, m = -26 and other root = .