Home » Uncategorized » Inequality 45(Vo Quoc Ba Can)

Inequality 45(Vo Quoc Ba Can)

Problem:

Let \displaystyle a,b,c be positive real numbers such that \displaystyle ab+bc+ca=1. Prove that \displaystyle \frac{1}{\sqrt{1+(2a-b)^2}}+\frac{1}{\sqrt{1+(2b-c)^2}}+\frac{1}{\sqrt{1+(2c-a)^2}}\leq\frac{3\sqrt{3}}{2}.

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