Answer: The center of the given circle is (5, -6).
Step-by-step explanation: We are given to find the center of the circle represented by the following equation :
We know that
the STANDARD equation of a circle with center (h, k) and radius r units is given by
From equation (i), we have
Comparing with the standard form, we get that the center of the given circle is (h, k) = (5, -6).
Thus, the center of the given circle is (5, -6).