MathDB

3

Part of 1996 India Regional Mathematical Olympiad

Problems(1)

Solve for real x and y

Source: Indian RMO 1996 Problem 3

10/26/2005
Solve for real numbers xx and yy, \begin{eqnarray*} \\ xy^2 &=& 15x^2 + 17xy +15y^2 ; \\ \\ x^2y &=& 20x^2 + 3y^2. \end{eqnarray*}