MathDB

4

Part of 1994 India Regional Mathematical Olympiad

Problems(1)

Solve the system

Source: 0

10/25/2005
Solve the system of equations for real xx and yy: \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*}
quadraticsalgebrasystem of equationscomplex numbers