RMO 2014 B2

Let $x, y, z$ be positive real numbers. Prove that $\frac{y^2 + z^2}{x}+\frac{z^2 + x^2}{y}+\frac{x^2 + y^2}{z}\ge 2(x + y + z)$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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