I need to prove that the equation x^4 - y^4 = 2 z^2 has no positive integer solutions.(adsbygoogle = window.adsbygoogle || []).push({});

I have tried to present this equation in some known from (like x^2+y^2=z^2 with known solutions, or [tex]x^4 \pm y^4=z^2[/tex] that has no integer solutions) without success.

Any hints ?

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# Diophantine equation x^4 - y^4 = 2 z^2

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