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system xy=1 and x/(x^4+y^2)+y/(x^2+y^4)=1 (HOMC 2013 Q13)

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August 1, 2019

algebrasystem of equations

Problem Statement

Solve the system of equations

\begin{cases} xy=1 \\ \frac{x}{x^4+y^2}+\frac{y}{x^2+y^4}=1\end{cases}