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MIE 2016/Day 1/Problem 9

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Problem 9

Let $x$ , $y$ and $z$ be complex numbers that satisfies the following system:

$\begin{cases}x+y+z=7\\x^2+y^2+z^2=25\\\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{4}\end{cases}$

Compute $x^3+y^3+z^3$ .

(a) $210$

(b) $235$

(c) $250$

(d) $320$

(e) $325$

Solution

See Also

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