CWMO 2007 Problem 3

Let $a,b,c$ be real numbers such that $a+b+c=3$ . Prove that $\frac{1}{5a^2-4a+11}+\frac{1}{5b^2-4b+11}+\frac{1}{5c^2-4c+11}\leq\frac{1}{4}$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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