Inegalitate conditionata

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alex2008
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Inegalitate conditionata

Post by alex2008 »

Fie \( a,b,c\in \mathbb{R}^*_+ \) astfel incat \( a^2+b^2+c^2=3 \) . Sa se arate ca \( (\forall)x,y,z\in \mathbb{R}_+^* \) avem :

\( \frac{x}{a}+\frac{y}{b}+\frac{z}{c}\ge \sqrt{xy}+\sqrt{yz}+\sqrt{zx} \)





Marius Damian
Last edited by alex2008 on Tue Feb 03, 2009 12:30 am, edited 1 time in total.
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Marius Mainea
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Post by Marius Mainea »

S-a mai postat aici
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