MathDB

1

Part of 2009 Costa Rica - Final Round

Problems(1)

Costa Rican Math Olympiad 2009 Problem 1

Source:

11/27/2009
Let x x and y y positive real numbers such that (1\plus{}x)(1\plus{}y)\equal{}2. Show that xy\plus{}\frac{1}{xy}\geq\ 6
inequalitiesfunction