Solve the following equation by factorization: 2x2 - 11x + 15 = 0, when (i) x ∈ N (ii) x ∈ I

Given, ⇒ 2x2 - 11x + 15 = 0 ⇒ 2x2 - 6x - 5x + 15 = 0 ⇒ 2x(x - 3) - 5(x - 3) = 0 ⇒ (2x - 5)(x - 3) = 0 ⇒ (2x - 5) = 0 or (x - 3) = 0 [Using Zero-product rule] ⇒ 2x = 5 or x = 3 ⇒ x = or x = 3. (i) Since, x ∈ N Hence, x = {3}. (ii) Since, x ∈ I Hence, x = {3}.