Reals numbers

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November 27th 2009, 09:04 PM
dhiab

Reals numbers

if : $a,b,c> 0 ....a+b+c=1$

Prove that :

$5(a^{2}+b^{2}+c^{2} )\geq 6(a^{3}+b^{3}+c^{3})+1$

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