INEQUALITY'S BLOG

August 21, 2011

Problem 303 Van Khea

Filed under: Problem by Van Khea — KKKVVV @ 4:30 pm

If a, b, c are positive real numbers then prove that

\displaystyle \frac{a}{(b+c)^2}+\frac{b}{(c+a)^2}+\frac{c}{(a+b)^2}\geq \frac{3\sqrt{3}}{4\sqrt{ab+bc+ca}}

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