By completing the square in x and y, find the center and radius of the circle.

X^2+y^2+6x-4y=23

Center (-3, 2) radius = 6

Step-by-step explanation:

x^2 + y^2 + 6x - 4y = 23

x^2 + 6x + y^2 - 4y = 23

x^2 + 6x + (9) + y^2 - 4y = 23 + (9)

(x + 3) ^2 + y^2 - 4y = 23 + (9)

(x + 3) ^2 + y^2 - 4y + (4) = 23 + (9) + (4)

(x + 3) ^2 + (y - 2) ^2 = 23 + (9) + (4)

(x + 3) ^2 + (y - 2) ^2 = 36

(x + 3) ^2 + (y - 2) ^2 = 6^2

Center is at (-3, 2)

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Radius = 6

From using formula (x - h) ^2 + (y - k) ^2 = r^2

where (h, k) = center and r = radius