document.write( "Question 29289: find all the information for this problem x^2+y^2+6x-6y=2
\n" ); document.write( "i thought this problem was an ellipse but couldnt figure it out. \n" ); document.write( "

Algebra.Com's Answer #16094 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
You might want to try this:
\n" ); document.write( " $\"x%5E2%2By%5E2%2B6x-6y+=+2\"$ Group the x-terms and the y-terms.
\n" ); document.write( " $\"%28x%5E2%2B6x%29%2B%28y%5E2-6y%29+=+2\"$ Now \"complete the square\" in the x-terms and in the y-terms.
\n" ); document.write( " $\"%28x%5E2%2B6x%2B9%29%2B%28y%5E2-6y%2B9%29+=+2%2B18\"$ Simplify and factor the parentheses.
\n" ); document.write( " $\"%28x%2B3%29%5E2+%2B+%28y-3%29%5E2+=+20\"$ Does this begin to look familiar? Compare with:
\n" ); document.write( " $\"%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2\"$ A circle with centre at (h, k) and radius r.\r
\n" ); document.write( "\n" ); document.write( "You should be able to draw the conclusion yourself. \n" ); document.write( "

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