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Regional Olympiad - FBH 2009 Grade 9 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2009

September 28, 2018
number theoryIntegers

Problem Statement

Find all triplets of integers (x,y,z)(x,y,z) such that xy(x2−y2)+yz(y2−z2)+zx(z2−x2)=1xy(x^2-y^2)+yz(y^2-z^2)+zx(z^2-x^2)=1
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