Solve the quadratic equation 8x 2 - 14x + 3 = 0 (i) When x ∈ I (integers) (ii) When x ∈ Q (rational numbers)

Given, ⇒ 8x 2 - 14x + 3 = 0 ⇒ 8x 2 - 12x - 2x + 3 = 0 ⇒ 4x(2x - 3) - 1(2x - 3) = 0 ⇒ (4x - 1)(2x - 3) = 0 ⇒ 4x - 1 = 0 or 2x - 3 = 0 ⇒ 4x = 1 or 2x = 3 ⇒ x = or x = . (i) Since, there is no integer in the solution, Hence, no solution. (ii) Here, x ∈ Q Hence, x = .