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diophantine x^4 + 5y^4 = z^4

Source: 2006 VMEO III Seniors 10.2 Vietnamese Mathematics e - Olympiad https://artofproblemsolving.com/community/c2463155_vmeo_iii

September 17, 2021
number theoryDiophantine equationdiophantine

Problem Statement

Find all triples of integers (x,y,z)(x, y, z) such that x4+5y4=z4x^4 + 5y^4 = z^4.
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