SE-SKOLORNAS 1983 Problem 6

Show that the only real solution to $\left\{ \begin{array}{l} x(x+y)^2 = 9 x(y^3 - x^3) = 7 \end{array} \right.$ is $x = 1$ , $y = 2$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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