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Editorial
Let $a=xy$ and $b=x+y$. We have $a+b=71$ and $ab=880$, so by Vieta $a,b$ are the roots of $t^2-71t+880$, which are $16$ and $55$.
Elevated Equations
Find the number of the solutions of positive integers for the system $xy + x + y = 71$ and $x^2y + xy^2 = 880$.
Equation
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