If z1 is a root of a quadratic equation with leading coefficient 1 and at least one nonrea...

If z1 is a root of a quadratic equation with leading coefficient 1 and at least one nonreal coefficient, then  is not a root. Prove this result in the case of a quadratic equation z2 + bz + c = 0, where at least one of b or c is a nonzero complex number.