Question

Find the center of the circle whose equation is x2 - 10x + y2 - 10y = -1.

Answer 1

the center of the circle are (5,5)

Explanation:

x^2 - 10x + y^2 - 10y = -1.

x^2 - 10x + (-5)^2 + y^2 - 10y + (-5)^2 = -1 + (-5)^2 + (-5)^2

(x-5)^2 + (y-5)^2 = -1 +25 + 25

(x-5)^2 + (y-5)^2 = 49

the center of the circle are (5,5)