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User:Temperal/Inequalities

< User:Temperal
Revision as of 11:59, 11 June 2008 by Temperal (talk | contribs) (rmv solution)

Problem (me): Prove for $x,y,z\in\mathbb{R}^ + ,x + y + z = \frac {1}{2}$ that \[\left(\sum_{sym}\frac {x}{y}\right)\left(\sqrt {2x^2 + 2y^2 + 2z^2}\right)\ge 1\]

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