INEQUALITY'S BLOG

July 29, 2010

(Van Khea):Problem 018

Filed under: Uncategorized — KKKVVV @ 12:45 am

Let x, y, z>0 ; xy+yz+zx=xyz. Prove that:

\displaystyle \frac{xy}{(1+x)(1+y)}+\frac{yz}{(1+y)(1+z)}+\frac{zx}{(1+z)(1+x)}\geq \frac{27}{16}

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