Solve the system
Source: 0
October 25, 2005
quadraticsalgebrasystem of equationscomplex numbers
Problem Statement
Solve the system of equations for real and : \begin{eqnarray*} 5x \left( 1 + \frac{1}{x^2 + y^2}\right) &=& 12 \\ 5y \left( 1 - \frac{1}{x^2+y^2} \right) &=& 4 . \end{eqnarray*}