Question

Find the center and radius of the circle with equation x

2 + y
2 − 6x + 10y = 0

Answer 1

x^2 + y^2 - 6x + 10y = 0

completing the squares
... x^2 - 6x + (-6/2)^2 + y^2 + 10y + (10/2)^2 = (-6/2)^2 + (10/2)^2

(x - 3)^2 + (y + 5)^2 = 9 + 25 = 34

center ... (3 , -5)

radius ... √34