Find the coordiantes of the center and the radius of each circle

Question

a. (x+root5)^2 + y^2 -8y =9

Answer 1

to do these you need to complete the square on each variable

(x-√5)^2 + (y^2 - 8y + 16) = 9 + 16
(x-√5)^2 + (y-4)^2 = 25

now just read off (h,k) and r