document.write( "Question 753610: completing the square for:\r
\n" ); document.write( "\n" ); document.write( "x^2-8x-2y^2-12y-4=0 \n" ); document.write( "

Algebra.Com's Answer #458579 by KMST(5328) $\"\"$ $\"About$

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$\"x%5E2-8x-2y%5E2-12y-4=0\"$ --> $\"x%5E2-8x-2y%5E2-12y=4\"$ --> $\"x%5E2-8x%2B16-2y%5E2-12y-18=4%2B16-18\"$ --> $\"%28x%5E2-8x%2B16%29-2%28y%5E2%2B6y%2B9%29=4%2B16-18\"$ --> $\"%28x-4%29%5E2-2%28y%2B3%29%5E2=2\"$
\n" ); document.write( "Now that the squares are completed, we could divide both sides of the equal sign by 2 to get
\n" ); document.write( " $\"%28x-4%29%5E2-2%28y%2B3%29%5E2=2\"$ --> $\"%28x-4%29%5E2%2F2-%28y%2B3%29%5E2%2F1=1\"$
\n" ); document.write( "and we would know that the equation represents a hyperbola with vertices at
\n" ); document.write( "( $\"4-sqrt%282%29\"$ , $\"-3\"$ ) and ( $\"4%2Bsqrt%282%29\"$ , $\"-3\"$ ) \n" ); document.write( "

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