Concursul Atanas Radev problema 2

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BogdanCNFB
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Concursul Atanas Radev problema 2

Post by BogdanCNFB »

Gasiti toate valorile intregi ale parametrului \( a \) astfel ca sistemul
\( \left{\begin{array}\sqrt{2x}\cdot(1+\frac{a}{x+y})=2\\\sqrt{3y}\cdot(1-\frac{a}{x+y})=2\end{array} \)
sa aiba solutie rationala \( (x,y) \).
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