Question

x^2+y^2+14y=0

Answer 1

what are we looking for here?

Answer 2

@ovolevi, you want to put the given equation for the circle in the form \((x - h)^2 + (y - k)^2 = r^2\) where \((h,k)\) is the center and \(r\) is the radius correct?

Answer 3

Not sure how to solve this - but here is a plot of the circle...

Answer 4

OK - I see now.

From the above plot you can derive the equation for the circle
(x-a)^2 + (y-b)= r^2

This equation then 'multiplies out' to give the equation above.

I guess the correct solution is to derive the factorised eqution in the form given by @Hero

Sorry if I've jumped the gun a little here...