olymmath

KöMaL 2023 C1781

    Solve the simultaneous equations 3x+y2−21y=2x2,x2−x−y2−21y=x3\begin{align*} 3x+\sqrt{y^2-21y} & =2x^2,\\ x^2-x-\sqrt{y^2-21y} & =x^3 \end{align*} over the set of real number pairs.

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