camp exam problem-8

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camp exam problem-8

Unread post by nafistiham » Fri Nov 04, 2011 10:59 pm

Let $a,b,c$ be real numbers. Prove that,


\[\frac{2}{b(a+b)} + \frac{2}{c(b+c)} + \frac{2}{a(c+a)} \geq \frac{27}{(a+b+c)^2}\]
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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