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20 puncte + coroana!!!
[tex] \left \{ {{ \frac{x}{y} - \frac{y}{x} = \frac{5}{6} } \atop { x^{2} - y^{2} = 5 }} \right. [/tex]


Răspuns :

x²/xy - y²/xy=5/6
(x²-y²)/xy=5/6
5/xy=5/6 ⇒ xy=6 
x²-y²=5
(x-y)* (x+y) =5
x=3 si y=2
x=-3 si y=-2