42 + 4p + 12 = 0⇒ p = -7AND equation x2 + px + q = 0 has equal roots⇒ Discriminant = b2 – 4ac (Discriminant = 0 when roots of a QUADRATIC equation are equal)⇒ D = (-7)2 – 4 × 1 × q = 0⇒ q = 49/4∴ q = 49/4