olymmath

BALTIC-WAY 2014 Problem 17

    Do there exist pairwise distinct rational numbers x,yx, y and zz such that

    1(x−y)2+1(y−z)2+1(z−x)2=2014?\frac{1}{(x-y)^{2}}+\frac{1}{(y-z)^{2}}+\frac{1}{(z-x)^{2}}=2014 ?

    Dataset text NuminaMath olympiads. Quoted with source.

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