BMO 2009, pb. 4

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Claudiu Mindrila
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BMO 2009, pb. 4

Post by Claudiu Mindrila »

Fie \( S \) multimea tuturor intregilor pozitivi. Gasiti toate functiile \( f:S\longrightarrow S \) astfel incat \( f\left(f\left(m\right)^{2}+2f\left(n\right)^{2}\right)=m^{2}+2n^{2} \), pentru orice \( m,\ n\in S \).

[BMO 2009, pb. 4]
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