What is 9x^2+9y^2+72y+36y+155=0 ?

The solution to 9x^2+9y^2+72y+36y+155=0 is Circle with (a,b)=(0,-6),r= 13/3

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9x^2+9y^2+72y+36y+155=0

9 x^{2} + 9 y^{2} + 72 y + 36 y + 155 = 0

(a, b) = (0, - 6), r = \frac{13}{3}

Solution steps

9 x^{2} + 9 y^{2} + 72 y + 36 y + 155 = 0

Rewrite

9 x^{2} + 9 y^{2} + 72 y + 36 y + 155 = 0

in the form of the standard circle equation

(x - 0)^{2} + (y - (- 6))^{2} = (\frac{13}{3})^{2}

Therefore the circle properties are:

(a, b) = (0, - 6), r = \frac{13}{3}

(x + 1)^{2} + (y - 2)^{2} = 36

(x + 7)^{2} + (y + 4)^{2} = 3

x^{2} + y^{2} + 10 x + 8 y - 11 = 0

(x - 5)^{2} + (y + 2)^{2} - 85 = 0

x^{2} + y^{2} + 4 x - 3 y = 9

What is 9x^2+9y^2+72y+36y+155=0 ?
The solution to 9x^2+9y^2+72y+36y+155=0 is Circle with (a,b)=(0,-6),r= 13/3