# Complex solutions

Algebra Level 4

$$x, y$$ and $$z$$ are complex numbers such that

$\begin{cases} x + y + z & = 20 \\ (x-y)^2 + (y-z)^2 + (z-x) ^ 2 & = xyz.\\ \end{cases}$

What is the value of $$\frac{ x^3 + y^3 + z^3} { xyz}$$?

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