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xyz/w + yzw/x + zwx/y + wxy/z = 4, diophantine

Source: China Northern MO 2015 grade 10 p1 CNMO

May 5, 2024
number theoryDiophantine equationdiophantine

Problem Statement

Find all integer solutions to the equation xyzw+yzwx+zwxy+wxyz=4\frac{xyz}{w}+\frac{yzw}{x}+\frac{zwx}{y}+\frac{wxy}{z}=4
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