MathDB

3

Part of 2010 Regional Olympiad of Mexico Center Zone

Problems(1)

inequality

Source: Mexico Regional Math Olympiad 2010 Problem 3

9/6/2015
Let aa, bb and cc be real positive numbers such that 1a+1b+1c=1\frac{1}{a} + \frac{1}{b} + \frac{1}{c} = 1 Prove that:
a2+b2+b2≥2a+2b+2c+9a^2+b^2+b^2 \ge 2a+2b+2c+9
inequalities