SOLUTION: Determine whether the given equation represents a circle, a point, or no graph. if the graph of the equation is a circle, find the center and radius. if the equation represents a p

Algebra ->  Circles -> SOLUTION: Determine whether the given equation represents a circle, a point, or no graph. if the graph of the equation is a circle, find the center and radius. if the equation represents a p      Log On


   



Question 931093: Determine whether the given equation represents a circle, a point, or no graph. if the graph of the equation is a circle, find the center and radius. if the equation represents a point, name the point. if the equation represents no graph, write no graph. x^2+y^2-6x+2y+12=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
x%5E2%2By%5E2-6x%2B2y%2B12=0
x%5E2-6x%2By%5E2%2B2y=-12
%28x%5E2-6x%2B9%29%2B%28y%5E2%2B2y%2B1%29=-12%2B9%2B1
%28x-3%29%5E2%2B%28y%2B1%29%5E2=-2
No graph, the radius term is negative.