Hard one but amuzing!



  • trouver tout les fonctions f:ZZf : \mathbb{Z} \rightarrow \mathbb{Z}
    xf(2f(y)x)+y2f(2xf(y))=f(x)2x+f(yf(y))xf(2f(y)-x)+y^2f(2x-f(y))=\frac{f(x)^2}{x}+f(yf(y))


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