MathDB
Nice and easy

Source: 0

April 24, 2008
inequalitieslogarithmscircumcircleHigh school olympiadBosniaalgebra

Problem Statement

If a a, b b and c c are positive reals prove inequality:
\left(1\plus{}\frac{4a}{b\plus{}c}\right)\left(1\plus{}\frac{4b}{a\plus{}c}\right)\left(1\plus{}\frac{4c}{a\plus{}b}\right) > 25.