Answer:
Explanation:
Remark
Complete the square for x and for y.
complete for x
x^2 + 2x + (2/2)^2
(x + 1)^2
Complete square for y
y^2 + 10y + (10/2)^2
(y + 5)^2
Now put these two together
(x + 1)^2 + (y + 5)^2 = 15 + (10/2)^2 + (2/2)^2
(x + 1)^2 + (y + 5)^2 = 15 + 25 + 1
(x + 1)^2 + (y + 5)^2 = 41
Answer
Center: (-1,-5)
radius: (sqrt(41) = 6.403