RMO Shortlist 2006

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Claudiu Mindrila
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Joined: Mon Oct 01, 2007 2:25 pm
Location: Targoviste
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RMO Shortlist 2006

Post by Claudiu Mindrila »

Determinati numerele naturale \( n \) si \( x_1,x_2,...,x_n \) nenule, pentru care \( x_1+x_2+...x_n=3n \) si \( \frac{1}{x_1}+\frac{1}{x_2}+...+\frac{1}{x_n}=1+\frac{1}{4n} \).

Lucian Dragomir, Otelu-Rosu, lista scurta 2006

[edit: la sugestia d-lui Mainea Marius]
Last edited by Claudiu Mindrila on Sat Jun 07, 2008 8:12 pm, edited 1 time in total.
elev, clasa a X-a, C. N. "C-tin Carabella", Targoviste
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