document.write( "Question 739366: What type of graph is:\r
\n" ); document.write( "\n" ); document.write( "5x^2+2y^2+30x-16y+67=0 \n" ); document.write( "

Algebra.Com's Answer #451095 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
it is an ellipse\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"5x%5E2%2B2y%5E2%2B30x-16y%2B67=0\"$ ........group like terms\r
\n" ); document.write( "\n" ); document.write( " $\"%285x%5E2%2B30x%29%2B%282y%5E2-16y%29%2B67=0\"$ ....complete square\r
\n" ); document.write( "\n" ); document.write( " $\"%285x%5E2%2B30x%2B___%29%2B%282y%5E2-16y%2B___%29%2B67=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%285x%5E2%2B30x%2B45%29-45%2B%282y%5E2-16y%2B32%29-32%2B67=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%285x%5E2%2B30x%2B45%29%2B%282y%5E2-16y%2B32%29-10=0\"$ ......factor out $\"5\"$ and $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5%28x%5E2%2B6x%2B9%29%2B2%28y%5E2-8y%2B16%29-10=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5%28x%2B3%29%5E2%2B2%28y-4%29%5E2-10=0\"$ .......=>... $\"h=-3\"$ and $\"k=4\"$ \r
\n" ); document.write( "\n" ); document.write( "the center: ( $\"-3\"$ , $\"4\"$ )\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

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

\n" );