Posted by zachary on Friday, October 26, 2012 at 5:36pm.
rearrange things a bit to get
x^2+8x + y^2+2y = -8
Now complete the squares:
x^2+8x+16 + y^2+2y+1 = -8 + 16 + 1
(x+4)^2 + (y+1)^2 = 9
center at (-4,-1)
when y=0,
(x+4)^2 + 1 = 9
(x+4) = ±√8
x = -4 ± √8
similarly for y when x=0
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