INEQUALITY'S BLOG

August 19, 2011

Problem 298 Van Khea

Filed under: Problem by Van Khea — KKKVVV @ 3:12 am

Let a, b, c, d be positive real numbers such that a+b+c+d\leq 4.Prove that

\displaystyle \frac{1}{a^4+b^4+c^4+d^4}+\frac{1}{abcd}\geq \frac{5}{4}

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