Conc.interj."Grigore Moisil" Urziceni 2010 probl.3

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Andi Brojbeanu
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Conc.interj."Grigore Moisil" Urziceni 2010 probl.3

Post by Andi Brojbeanu »

Fie \( n\in \mathb{N}^* \). Demonstrati ca multimea \( \{n, n+1, n+2, ..., n^3+n^2+n+1, n^3+n^2+n+2\} \)
a) contine cel putin un patrat perfect.
b) contine puterea a patra a unui numar natural.
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