What is x^2+y^2+6x+2y+6=0 ?

The solution to x^2+y^2+6x+2y+6=0 is Circle with (a,b)=(-3,-1),r=2

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x^2+y^2+6x+2y+6=0

x^{2} + y^{2} + 6 x + 2 y + 6 = 0

(a, b) = (- 3, - 1), r = 2

Solution steps

x^{2} + y^{2} + 6 x + 2 y + 6 = 0

Rewrite

x^{2} + y^{2} + 6 x + 2 y + 6 = 0

in the form of the standard circle equation

(x - (- 3))^{2} + (y - (- 1))^{2} = 2^{2}

Therefore the circle properties are:

(a, b) = (- 3, - 1), r = 2

\frac{x ^{2}}{100} + \frac{y ^{2}}{36} = 1

4 x^{2} - y^{2} = 16

x^{2} + 2 y^{2} - 2 x + 8 y + 5 = 0

(x - 1)^{2} + (y - 1)^{2} = 2

x^{2} + y^{2} = 5

What is x^2+y^2+6x+2y+6=0 ?
The solution to x^2+y^2+6x+2y+6=0 is Circle with (a,b)=(-3,-1),r=2