Answer:
C(5, -3)
Explanation:
Given the equation of circle;
x² + y² - 10x + 6y - 2 = 0
The general equation for a circle is given by the formula;
x² + y² + 2gx + 2fy + c = 0
Where the center is C(-g, -f)
To find the center, we would compare the two equations;
For the value of g.
2gx = -10x
2g = -10
g = -10/2
g = -5
To find the value of f.
2fy = 6y
2f = 6
f = 6/2
f = 3
Therefore, the center C(-g, -f) = (-(-5), -(3))
C(-g, -f) = C(5, -3).