Inegalitatea

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alex2008
Leibniz
Posts: 464
Joined: Sun Oct 19, 2008 3:23 pm
Location: Tulcea

Inegalitatea

Post by alex2008 »

Sa se arate ca :

\( (|a|+|b|)(|b|+|c|)(|c|+|a|)\ge 8|abc| \)
. A snake that slithers on the ground can only dream of flying through the air.
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Marius Mainea
Gauss
Posts: 1077
Joined: Mon May 26, 2008 2:12 pm
Location: Gaesti (Dambovita)

Post by Marius Mainea »

Aplicam de trei ori inegalitatea AM-GM

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