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Regional Olympiad - FBH 2009 Grade 11 Problem 2

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2009

September 28, 2018
number theoryquartet

Problem Statement

For given positive integer nn find all quartets (x1,x2,x3,x4)(x_1,x_2,x_3,x_4) such that x12+x22+x32+x42=4nx_1^2+x_2^2+x_3^2+x_4^2=4^n
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