# Wildest Equation

Algebra Level 4

Suppose that $x, y$ and $z$ are real numbers and $y \geq 1$. Find $\sqrt{x^2 + y^2 +z^2}$ such that

$\large{x+y = 1-2\sqrt{xy-x} - \sqrt{1-2y+y^2 +z^4}}.$

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