The roots of the quadratic equation x(x + 8) + 12 = 0 are :

1. 6 or 2

2. -6 or -2

3. 6 and -2

4. -6 and -2

Given,

⇒ x(x + 8) + 12 = 0

⇒ x² + 8x + 12 = 0

⇒ x² + 2x + 6x + 12 = 0

⇒ x(x + 2) + 6(x + 2) = 0

⇒ (x + 6)(x + 2) = 0

⇒ x + 6 = 0 or x + 2 = 0

⇒ x = -6 or x = -2.

Hence, Option 2 is the correct option.