SOLUTION: x^2+y^2+6y=16

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Question 530386: x^2+y^2+6y=16
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Since you haven't asked any question about this equation I'll presume that you would like to find out what conic section it represents.
x%5E2%2By%5E2%2B6y+=+16 Group the terms like this:
%28x%29%5E2%2B%28y%5E2%2B6y%29+=+16 Complete the square in the y-terms by adding 9 to both sides.
%28x%29%5E2%2B%28y%5E2%2B6y%2B9%29+=+16%2B9 Simplify.
%28x%29%5E2%2B%28y%2B3%29%5E2+=+25 Compare this with the standard form for a circle with center at (h, k) and radius = r:
%28x-h%29%5E2%2B%28y-k%29%5E2+=+r%5E2 This is the standard form for a circle.
%28x-0%29%5E2%2B%28y%2B3%29%5E2+=+5%5E2 This is your equation.
What conclusion can you draw?