MathDB

5

Part of 2002 JBMO ShortLists

Problems(1)

Very easy inequality

Source: JBMO Shortlist 2002

11/12/2008
Let a,b,c a,b,c be positive real numbers. Prove the inequality: \frac {a^3}{b^2} \plus{} \frac {b^3}{c^2} \plus{} \frac {c^3}{a^2}\ge \frac {a^2}{b} \plus{} \frac {b^2}{c} \plus{} \frac {c^2}{a}
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