If $$x$$ and $$y$$ are integers and $$-x\le y\le x,$$ does $$\sqrt{x^2-y^2}=x+y?$$

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If $$x$$ and $$y$$ are integers and $$-x\le y\le x,$$ does $$\sqrt{x^2-y^2}=x+y?$$

by Vincen » Thu Apr 15, 2021 10:35 am

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If $$x$$ and $$y$$ are integers and $$-x\le y\le x,$$ does $$\sqrt{x^2-y^2}=x+y?$$

(1) $$xy$$ is NOT a square of an integer.
(2) Point $$(x, y)$$ is NOT on $$x$$-axis.