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min{a,b,c} \leq ...

Posted: Thu May 22, 2008 1:35 am
by Marius Dragoi
Sa se demonstreze ca daca \( a,b,c \in R \) cu \( a^2+b^2+c^2=9 \) atunci:
\( 3 \min{(a,b,c)} \leq 1+abc \).

Shortlist ONM 2004, Virgil Nicula