document.write( "Question 606785: PLEASE HELP!!! IM SO CONFUSED!!! Thank you!\r
\n" ); document.write( "\n" ); document.write( "Write the standard equation of this conic section:\r
\n" ); document.write( "\n" ); document.write( "y^2-x^2+2y-14x-57 \n" ); document.write( "

Algebra.Com's Answer #382235 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Actually, you didn't give me an equation, so
\n" ); document.write( "I can't give you an equation. You need an \"=\"
\n" ); document.write( "sign somewhere, so I'll assume you have
\n" ); document.write( " $\"+y%5E2+-+x%5E2+%2B+2y+-+14x+-+57+=+0+\"$
\n" ); document.write( "------------
\n" ); document.write( "Add $\"+57+\"$ to both sides
\n" ); document.write( " $\"+y%5E2+-+x%5E2+%2B+2y+-+14x+=+57+\"$
\n" ); document.write( "Rearrange the terms on the left
\n" ); document.write( " $\"+y%5E2+%2B+2y+-+x%5E2+-+14x+=+57+\"$
\n" ); document.write( "Complete the square for the y terms and the x terms
\n" ); document.write( "

\n" ); document.write( " $\"+%28+y%5E2+%2B+2y+%2B+1+%29+-+%28+x%5E2+%2B+14x+%2B+49+%29+=+57+%2B+1+-+49+\"$
\n" ); document.write( " $\"+%28+y+%2B+1+%29%5E2+-+%28+x+%2B+7+%29%5E2+=+9+\"$
\n" ); document.write( "Divide both sides by $\"+9+\"$
\n" ); document.write( " $\"+%28+y+%2B+1+%29%5E2%2F+3%5E2+-+%28+x+%2B+7+%29%5E2%2F+3%5E2+=+1+\"$
\n" ); document.write( "This is a hyperbola with center at (-7,-1)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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