if and

prove

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- Mar 7th 2008, 01:10 PMperashinequalty
if and

prove

- Sep 16th 2013, 11:13 PMbrosnan123Re: inequalty
Solution:

Given a,b,c>0

a+b+c=1

this is possible when a=b=c=1/3

a^3/(a²+b²)+b^3/(b²+c²)+c^3/(c²+a²)>=1/2

then (1/3)²/(1/9+1/9)+ (1/3)²/(1/9+1/9)+(1/3)²/(1/9+1/9)

=1/2

hence proved - Sep 17th 2013, 04:14 AMShakarriRe: inequalty