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DE-MO 2016 Problem 1

    Find all real pairs (a,b)(a,b) that solve the system of equation \begin{align*} a^2+b^2 &= 25, 3(a+b)-ab &= 15. \end{align*} (German MO 2016 - Problem 1)

    Dataset text AI-MO AoPS. Quoted with source.

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