MathDB

4

Part of 2010 Turkey Junior National Olympiad

Problems(1)

Two variable inequality

Source: Junior Turkish Mathematical Olympiad 2010 Problem 4

7/24/2011
Prove that a2b2(a2+b2−2)≥(a+b)(ab−1) a^2b^2(a^2+b^2-2) \geq (a+b)(ab-1) for all positive real numbers aa and b.b.
inequalitiesrearrangement inequalityinequalities proposed