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Question

Let $z_1$ and $z_2$ be two complex numbers such that $z_1+z_2=5$ and $z_1^3+z_2^3=20+15 i$ Then, $\left|z_1^4+z_2^4\right|$ equals -

$15 \sqrt{15}$
$30 \sqrt{3}$
$25 \sqrt{3}$
75

Solution

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