Question

A circle has the equation x^2+y^2+x-6y+9=0. Find the center and any x or y intercepts.

I know it's a complete the square problem, but I'm messing up somewhere :/

Answer 1

We know:x^2+y^2+x−6y+9=0So, we complete the square as such:x^2+y^2+x−6y+9=x^2+x+y^2−6y+9=(x+1/2)^2+(y−3)^2=(1/2)^2=1/4