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AUSTRIAN-POLISH 1985 Problem 4

    Solve the system of equations: {x4+y2−xy3−98x=0y4+x2−yx3−98y=0\left\{ \begin{aligned} x^4+y^2-xy^3-\frac{9}{8}x = 0 y^4+x^2-yx^3-\frac{9}{8}y=0 \end{aligned} \right.

    Dataset text AI-MO AoPS. Quoted with source.

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