too easy but i liked it

Cezar Lupu

Let $a,b,c>0$ such that $a+b+c=1$ .prove that:

$a^2+b^2+c^2 +1\geq 4(ab+bc+ca)$ Wink

**Posted:** Thu Aug 04, 2005 10:48 am

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In the war, it is NOT the men, but the Man who counts. ( Napoleon Bonaparte)

harazi

Cezar, do you really see any interest of this type of problems? I mean, these say absolutely nothing and the only reason for their existence is to occupe space. Smile

**Posted:** Thu Aug 04, 2005 10:55 am

Cezar Lupu

Ok,you are right.Promiss next time if i going to post such inequalities,it will be in Classroom math or I won't post this "kind" of things.I think the second option is the best. Blush

**Posted:** Thu Aug 04, 2005 10:58 am

_________________
In the war, it is NOT the men, but the Man who counts. ( Napoleon Bonaparte)