Solve the following equation: 4x 2 - 2x + 1/4 = 0

Given, 4x 2 - 2x + = 0 ⇒ = 0 ⇒ 16x 2 - 8x + 1 = 0 ⇒ 16x 2 - 4x - 4x + 1 = 0 ⇒ 4x(4x - 1) - 1(4x - 1) = 0 ⇒ (4x - 1)(4x - 1) = 0 ⇒ (4x - 1) 2 = 0 ⇒ 4x - 1 = 0 ⇒ x = . Hence, roots of the given equations are