document.write( "Question 1169924: Please help me solve this equation 8x^2+7y^2-32x+42y-17=0 \n" ); document.write( "

Algebra.Com's Answer #794810 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"8x%5E2%2B7y%5E2-32x%2B42y-17=0+\"$ ........group like variables and complete squares\r
\n" ); document.write( "\n" ); document.write( " $\"%288x%5E2-32x%29%2B%287y%5E2%2B42y%29-17=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8%28x%5E2-4x%29%2B7%28y%5E2%2B6y%29-17=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8%28x%5E2-4x%2Bb%5E2%29-8b%5E2%2B7%28y%5E2%2B6y%2Bb%5E2%29-7b%5E2-17=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8%28x%5E2-4x%2B2%5E2%29-8%2A2%5E2%2B7%28y%5E2%2B6y%2B3%5E2%29-7%2A3%5E2-17=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8%28x-2%29%5E2-32%2B7%28y%2B3%29%5E2-63-17=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8%28x-2%29%5E2%2B7%28y%2B3%29%5E2-112=0\"$ .........divide by $\"+112\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8%28x-2%29%5E2%2F112%2B7%28y%2B3%29%5E2%2F112-112%2F112=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-2%29%5E2%2F14%2B%28y%2B3%29%5E2%2F16-1=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x-2%29%5E2%2F14%2B%28y%2B3%29%5E2%2F16=1\"$ ....-> $\"ellipse\"$ \r
\n" ); document.write( "\n" ); document.write( " center is at ( $\"2\"$ , $\"-3\"$ )\r
\n" ); document.write( "\n" ); document.write( "semimajor axis length | $\"sqrt%2816%29=4\"$
\n" ); document.write( "semiminor axis length | $\"sqrt%2814%29\"$ ≈ $\"3.7\"$ \r
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