Solve for real x and y
Source: Indian RMO 1996 Problem 3
October 26, 2005
Problem Statement
Solve for real numbers and ,
\begin{eqnarray*} \\ xy^2 &=& 15x^2 + 17xy +15y^2 ; \\ \\ x^2y &=& 20x^2 + 3y^2. \end{eqnarray*}
Source: Indian RMO 1996 Problem 3