geometry Problem

[hello192]

Been struggling in this hw question for geometry. Im not sure if I did this right. I got (x−1) 2+(y−5)^2= 10

 

[Muddyakka]

I assume you mean:
(x-1)² + (y-5)² = 10

To check, you should sub in a point that lies on the circle which is given (-2,3)
(-2-1)² + (3-5)² = (-3)² + (-2)² = 13 ≠ 10