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Inegalitatea

Posted: Thu Feb 05, 2009 2:12 am
by alex2008
Sa se arate ca :

\( (|a|+|b|)(|b|+|c|)(|c|+|a|)\ge 8|abc| \)

Posted: Thu Feb 05, 2009 7:35 pm
by Marius Mainea
Aplicam de trei ori inegalitatea AM-GM

\( \frac{x+y}{2}\ge \sqrt{xy} \)