MathDB
Find all possible values of x+y+z

Source: Centroamerican 2011, Problem 5

June 22, 2011
inequalitiesalgebra proposedalgebra

Problem Statement

If xx, yy, zz are positive numbers satisfying x+yz=y+zx=z+xy=2.x+\frac{y}{z}=y+\frac{z}{x}=z+\frac{x}{y}=2. Find all the possible values of x+y+zx+y+z.
Back to ProblemsView on AoPS