Final answer:
To find the center of the circle, we need to rearrange the equation into the standard form (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r is the radius.
Step-by-step explanation:
The equation of the circle is given by:
x2 + y2 - 4x + 6y - 17 = 0
To find the center of the circle, we need to rearrange the equation into the standard form (x - h)2 + (y - k)2 = r2, where (h, k) represents the center of the circle and r is the radius.
By completing the square on the x and y terms, we get:
(x - 2)2 + (y + 3)2 = 32
Thus, the center of the circle is (2, -3) and the radius is √32.