MathDB

An ineq easy

Source: Greece 2004 juniors

July 12, 2005

inequalities unsolvedinequalities

Problem Statement

x,y,z positive real numbers such that

x^2+y^2+z^2=25

Find the min price of

A=\frac{xy}{z}+\frac{yz}{x}+\frac{zx}{y}