KöMaL 2007 B4000

Find the smallest possible value of $x^2$ + $y^2$ , given that $x$ and $y$ are real numbers, $x \ne$ 0 and $xy$ ( $x^2$ - $y^2$ )= $x^2$ + $y^2$ .

Official text KöMaL. Quoted with source.

Solutions

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