# Simultaneous Equations in Three Variables!

Geometry Level 4

$\large { \begin{cases} xyz=6 \\ \tan^{-1}(x) + \tan^{-1}(y) + \tan^{-1}(z) = \pi \\ xy+yz+zx = 11 \\ \end{cases} }$

Let $$x,y,z$$ are real numbers satisfy the above equations. Then find the value of $$x^5 + y^5 + z^5$$.

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