SOLUTION: 4x2 + 4y2 + 16x + 24y + 31 = 0 Find the center and radius of the circle. Thanks! :)

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Question 1096705: 4x2 + 4y2 + 16x + 24y + 31 = 0
Find the center and radius of the circle. Thanks! :)
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
4x2 + 4y2 + 16x + 24y + 31 = 0
4x^2 + 16x + 4y^2 + 24y = -31
Complete the squares for x & y

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!
4x2 + 4y2 + 16x + 24y + 31 = 0
Find the center and radius of the circle. Thanks! :)

------- Factoring out a GCF, 4, to get leading coefficients of 1

Now, complete the square on x and y.
You will work towards getting the equation of the CIRCLE, which is in the form: , where:
= Coordinates of CENTER of circle
= Radius of the circle