SOLUTION: Find the center and the radius of the circle below . Show your work X^2+6x+y^2-4y-68=0

Question 1105609: Find the center and the radius of the circle below . Show your work
X^2+6x+y^2-4y-68=0
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
x^2 +6x +y^2 -4y -68 = 0
:
add 68 to both sides of =
:
x^2 +6x +y^2 -4y = 68
:
complete the squares
:
x^2 +6x +9 + y^2 -4y +4 = 68 +13
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factor the squares on both sides of =
:
(x+3)^2 +(y-2)^2 = 9^2
:
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the equation is recognizable as a circle whose center is (-3,2) and radius of 9
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