Find the quadratic equation, whose solution set is :

(i) {3, 5}

(ii) {-2, 3}

(i) Since, {3, 5} is solution set.

It means 3 and 5 are roots of the equation,

∴ x = 3 or x = 5

⇒ x - 3 = 0 or x - 5 = 0

⇒ (x - 3)(x - 5) = 0

⇒ (x² - 5x - 3x + 15) = 0

⇒ x² - 8x + 15 = 0.

Hence, quadratic equation with solution set {3, 5} = x² - 8x + 15 = 0.

(ii) Since, {-2, 3} is solution set.

It means -2 and 3 are roots of the equation,

∴ x = -2 or x = 3

⇒ x + 2 = 0 or x - 3 = 0

⇒ (x + 2)(x - 3) = 0

⇒ (x² - 3x + 2x - 6) = 0

⇒ x² - x - 6 = 0.

Hence, quadratic equation with solution set {-2, 3} = x² - x - 6 = 0.