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x^3 + 2y^3 + 4z^3 - 6xyz = 1 diophantine

Source: Indian Postal Coaching 2009 set 1 p2

May 26, 2020
diophantineDiophantine equationnumber theory

Problem Statement

Determine, with proof, all the integer solutions of the equation x3+2y3+4z3āˆ’6xyz=1x^3 + 2y^3 + 4z^3 - 6xyz = 1.