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Suppose that x,yx, yx,y and zzz are real numbers and y≥1y \geq 1y≥1. Find x2+y2+z2\sqrt{x^2 + y^2 +z^2}x2+y2+z2 such that
x+y=1−2xy−x−1−2y+y2+z4.\large{x+y = 1-2\sqrt{xy-x} - \sqrt{1-2y+y^2 +z^4}}.x+y=1−2xy−x−1−2y+y2+z4.
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