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diophantine x^4 + 4y^4 + z^4 + 4 = 8xyz (HOMC 2017 S Q3)

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September 8, 2019
Diophantine equationdiophantinenumber theory

Problem Statement

The number of real triples (x,y,z)(x , y , z ) that satisfy the equation x4+4y4+z4+4=8xyzx^4 + 4y^4 + z^4 + 4 = 8xyz is
(A): 00, (B): 11, (C): 22, (D): 88, (E): None of the above.
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