Concursul Atanas Radev problema 2
Posted: Sat Feb 28, 2009 9:30 am
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 \( (x,y) \).
\( \left{\begin{array}\sqrt{2x}\cdot(1+\frac{a}{x+y})=2\\\sqrt{3y}\cdot(1-\frac{a}{x+y})=2\end{array} \)
sa aiba solutie rationala \( (x,y) \).