Let $z_1$ and $z_2$ be two complex numbers such that $z_1 + z_2 = 5$ and $z_1^3 + z_2^3 = 20 + 15i$. Then $|z_1^4 + z_2^4|$ equals (1) $30\sqrt{3}$ (2) $75\sqrt{2}$ (3) $15\sqrt{15}$ (4) $25\sqrt{3}$
Let $z_1$ and $z_2$ be two complex numbers such that $z_1 + z_2 = 5$ and $z_1^3 + z_2^3 = 20 + 15i$. Then $|z_1^4 + z_2^4|$ equals\\
(1) $30\sqrt{3}$\\
(2) $75\sqrt{2}$\\
(3) $15\sqrt{15}$\\
(4) $25\sqrt{3}$