document.write( "Question 1166142: Find the intersection of two ellipse 4x^2+9y^2=36 , 9x^2+4x^2=36
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #790622 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Due to symmetry, it is clear that the intersection points (x,y) have |x| = |y|.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then from the equations\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    4x^2 + 9x^2 = 36\r\n" );
document.write( "\r\n" );
document.write( "        13x^2   = 36\r\n" );
document.write( "\r\n" );
document.write( "          x^2 = 36/13\r\n" );
document.write( "\r\n" );
document.write( "      x = +/- ,\r\n" );
document.write( "\r\n" );
document.write( "      y = +/- .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The intersection points are  (,),  (,),  (,),  (,).\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );