Ecuatie in numere intregi

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Filip Chindea
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Ecuatie in numere intregi

Post by Filip Chindea »

Aratati ca pentru orice intreg pozitiv \( m \), exista o solutie \( n = n_m \) pentru

\( \frac{n}{m} = \lfloor n^{2/3} \rfloor + \lfloor n^{1/2} \rfloor + 1 \).

[ Stelele Matematicii 2008 - Problema 1 ]
Life is complex: it has real and imaginary components.
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