Problem 3 of RMO 2006 (Regional Mathematical Olympiad-India)
Source: Elementry inequality
September 13, 2009
inequalitiesalgebra
Problem Statement
If are three positive real numbers, prove that \frac {a^{2}\plus{}1}{b\plus{}c}\plus{}\frac {b^{2}\plus{}1}{c\plus{}a}\plus{}\frac {c^{2}\plus{}1}{a\plus{}b}\ge 3