MathDB
System of equations

Source: Vietnam NMO 1996, Problem 1

September 5, 2008
algebrasystem of equationsalgebra proposed

Problem Statement

Solve the system of equations: \sqrt {3x}(1 \plus{} \frac {1}{x \plus{} y}) \equal{} 2 \sqrt {7y}(1 \minus{} \frac {1}{x \plus{} y}) \equal{} 4\sqrt {2}