TH-TMO 2010 Problem 7

Let $a, b, c$ be positive reals. Show that $\frac{a^5}{bc^2} + \frac{b^5}{ca^2} + \frac{c^5}{ab^2} \ge a^2 + b^2 + c^2.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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