Answer:
(1,3) is the center and the radius is 6
Step-by-step explanation:
x^2 −2x + y^2 − 6y = 26
Complete the square for the x term
(-2/2)^2 =(-1)^2= 1 so add 1 to each side
x^2 −2x +1+ y^2 − 6y = 26+1
(x-1)^2+ y^2 − 6y = 27
Complete the square for the y term
(-6/2)^2 =(-3)^2= 9 so add 9 to each side
(x-1)^2+ y^2 − 6y+9 = 27+9
(x-1)^2+ (y-3)^2 = 36
(x-1)^2+ (y-3)^2 = 6^2
This is in the form
(x-h)^2+ (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(1,3) is the center and the radius is 6
