+318 Find the center and radius of a circle with equation x^2+y^2-1/2x+y=1/2
+129852 Rearrange as
x^2 - (1/2)x + y^2 + y = 1/2 complete the square on x and y
x^2 - (1/2)x + 1/16 + y^2 + y + 1/4 = 1/2 + 1/16 + 1/4
Factor and simplify
(x - 1/4)^2 + (y + 1/2)^2 = 8/16 + 1/16 + 4/16
(x - 1/4)^2 + (y + 1/2)^2 = 13/16
Center = (1/4 , -1/2)
Radius = √ (13/16 ) = √13 / 4
