document.write( "Question 1015551: please help me graph 3x^2 + 4y^2 -6x -24y +39=0 \n" ); document.write( "
Algebra.Com's Answer #631898 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "please help me graph 3x^2 + 4y^2 -6x -24y +39=0
\n" ); document.write( "---------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Complete squares in x and y:\r\n" );
document.write( "\r\n" );
document.write( "\"3x%5E2+%2B+4y%5E2+-6x+-24y+%2B39\" = \"3%28%28x-1%29%5E2+-+1%29+%2B+4%28%28y-3%29%5E2+-+9%29+%2B+39\" = \"3%28x-1%29%5E2+%2B+4%28y-3%29%5E2+%2B+39+-+3+-+36\" = \"3%28x-1%29%5E2+%2B+4%28y-3%29%5E2\".\r\n" );
document.write( "\r\n" );
document.write( "So, your equation is\r\n" );
document.write( "\r\n" );
document.write( "\"3%28x-1%29%5E2+%2B+4%28y-3%29%5E2\" = \"0\",   or\r\n" );
document.write( "\r\n" );
document.write( "\"3%28x-1%29%5E2\" = \"-4%28y-3%29%5E2\".\r\n" );
document.write( "\r\n" );
document.write( "This equation has the unique solution: x =1 and y=3.\r\n" );
document.write( "There is no other real solutions.\r\n" );
document.write( "\r\n" );
document.write( "So, the equation describes only one point (1,3).\r\n" );
document.write( "\r\n" );
document.write( "The plot consists of only one point (1,3).\r\n" );
document.write( "

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