What is x^2+y^2+6x+18y+9=0 ?

The solution to x^2+y^2+6x+18y+9=0 is Circle with (a,b)=(-3,-9),r=9

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x^2+y^2+6x+18y+9=0

x^{2} + y^{2} + 6 x + 18 y + 9 = 0

(a, b) = (- 3, - 9), r = 9

Solution steps

x^{2} + y^{2} + 6 x + 18 y + 9 = 0

Rewrite

x^{2} + y^{2} + 6 x + 18 y + 9 = 0

in the form of the standard circle equation

(x - (- 3))^{2} + (y - (- 9))^{2} = 9^{2}

Therefore the circle properties are:

(a, b) = (- 3, - 9), r = 9

x^{2} + y^{2} + 8 x + 7 = 0

(x + 4)^{2} + (y - 1)^{2} = 25

x^{2} + y^{2} + 14 x + 12 y + 21 = 0

4 x^{2} + 32 x + 4 y^{2} = 0

4 x^{2} + 4 y^{2} - 16 x + 40 y - 7 = 0

What is x^2+y^2+6x+18y+9=0 ?
The solution to x^2+y^2+6x+18y+9=0 is Circle with (a,b)=(-3,-9),r=9