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BALTIC-WAY 1993 Problem 9

  • Answer

Solve the system of equations:

{x5=y+y5y5=z+z5z5=t+t5t5=x+x5.\left\{\begin{array}{l} x^{5}=y+y^{5} \\ y^{5}=z+z^{5} \\ z^{5}=t+t^{5} \\ t^{5}=x+x^{5} . \end{array}\right.

Dataset text NuminaMath olympiads. Quoted with source.

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x=y=z=t=0

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