IMO Problem 2

Algebra Level 4

For what real values of xx is

x+2x1+x2x1=A\sqrt{x+\sqrt{2x-1}} + \sqrt{x-\sqrt{2x-1}} = A,

given A=2A=2, where only non-negative real numbers are admitted for square roots?

This problem is from the IMO.This problem is part of this set.

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