For all real numbers a, b, c, prove that:

a(a - b) + b(b - c) + c(c - a) >= 0.

Thanks!

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- Jun 22nd 2007, 10:52 AMIdeasmanProof inequality
For all real numbers a, b, c, prove that:

a(a - b) + b(b - c) + c(c - a) >= 0.

Thanks! - Jun 22nd 2007, 11:35 AMThePerfectHacker
- Jun 22nd 2007, 02:53 PMIdeasman
You'd have to prove the cauchy-shwartz thm wouldn't you?

I don't see how

a^2 + b^2 + c^2 >= |ab + bc + ac| - Jun 22nd 2007, 02:58 PMJhevon
- Jun 22nd 2007, 03:36 PMThePerfectHacker