# System of equations?

Algebra Level 4

$\large{ \begin{cases} y+4 = (x-2)^2 \\ x+ 4 = (y-2)^2 \end{cases} }$

Let $$x$$ and $$y$$ be distinct numbers satisfying the system of equations above.

What is the value of $$x^2 + y^2$$?

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