Conc. nat. "Laurentiu Duican" Brasov 2009 probl. 1

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Andi Brojbeanu
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Conc. nat. "Laurentiu Duican" Brasov 2009 probl. 1

Post by Andi Brojbeanu »

Sa se determine numerele naturale \( n \) cu proprietatea ca pentru oricare \( a, b, c>0 \) are loc egalitatea:
\( (a+b+c)^n+a^n+b^n+c^n=(a+b)^n+(b+c)^n+(c+a)^n \),
Dan Negulescu
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