SOLUTION: Hi, I'm having difficulty in solving the following problem: Decide whether each equation has a circle as its graph. If it does, give the center and radius. x2 + 6x + y2 +

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Hi, I'm having difficulty in solving the following problem: Decide whether each equation has a circle as its graph. If it does, give the center and radius. x2 + 6x + y2 +      Log On


   



Question 813721: Hi,
I'm having difficulty in solving the following problem:
Decide whether each equation has a circle as its graph. If it does, give the center and radius.
x2 + 6x + y2 + 8y + 9 = 0
Your help is GREATLY appreciated! Thank you!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Decide whether each equation has a circle as its graph. If it does, give the center and radius.
x2 + 6x + y2 + 8y + 9 = 0
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It's a circle.
x^2 + 6x + y^2 + 8y + 9 = 0
x^2 + 6x + y^2 + 8y = -9
Complete the square for x and y.
x^2 + 6x + 9 + y^2 + 8y + 16 = -9 + 9 + 16 = 16
%28x%2B3%29%5E2+%2B+%28y%2B4%29%5E2+=+16
Center (-3,-4)
r = 4