DE-MO 2010 Problem 2

Let $a,b,c$ be pairwise distinct real numbers. Show that $(\frac{2a-b}{a-b})^2+(\frac{2b-c}{b-c})^2+(\frac{2c-a}{c-a})^2 \ge 5.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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