# X and Y are in Roots!

Algebra Level 4

$\begin{eqnarray} 4x + y + 4\sqrt{xy} - 36\sqrt{x} - 18\sqrt{y} + 80 = 0 \end{eqnarray}$

Let $$x$$ and $$y$$ be in the interval $$[0,1000]$$. Find the number of integer pairs $$(x,y)$$ satisfying the equation above.

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