Question

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 the value of $| z_1^4+z_2^4 |$ is equal to

• A. $75$
• B. $15\sqrt {15}$
• C. $25\sqrt {5}$
• D. $30\sqrt 3$

Answer 1

Answer: (A)

$75$

Answer 2

The correct option is (A): $75$.