olymmath

INMO 2001 Problem 2

    Show that the equation

    x2+y2+z2=(x−y)(y−z)(z−x)x^{2}+y^{2}+z^{2}=(x-y)(y-z)(z-x)

    has infinitely many solutions in integers x,y,zx, y, z.

    Dataset text NuminaMath olympiads. Quoted with source.

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