SOLUTION: What is the standard equation and state whether it is an ellipse, parabola, circle, or hyperbola x^2+y^2+6x=7

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Question 82201: What is the standard equation and state whether it is an ellipse, parabola, circle, or hyperbola x^2+y^2+6x=7
Answer by stanbon(48569) About Me  (Show Source):
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What is the standard equation and state whether it is an ellipse, parabola, circle, or hyperbola x^2+y^2+6x=7
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Complete the square separately for the x and the y terms, as follows:
x^2+6x+9 + y^2 = 7+9
Factor as follows:
(x+3)^2 + (y-0)^2 = 16
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this is a circle with center at (-3,0) and radius = 4
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Cheers,
Stan H.