If the equation, x2 + bx + 45 = 0 (b $ \in $ R) has conjugate complex roots and they satisfy |z +1| = 2$\sqrt {10} $ , then :

Question

If the equation, x² + bx + 45 = 0 (b $ \in $ R) has conjugate complex roots and they satisfy |z +1| = 2$\sqrt {10} $ , then :

b² – b = 42