What is 9x^2+9y^2+36+90y=216 ?

The solution to 9x^2+9y^2+36+90y=216 is Circle with (a,b)=(0,-5),r=3sqrt(5)

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9x^2+9y^2+36+90y=216

9 x^{2} + 9 y^{2} + 36 + 90 y = 216

(a, b) = (0, - 5), r = 35

Solution steps

9 x^{2} + 9 y^{2} + 36 + 90 y = 216

Rewrite

9 x^{2} + 9 y^{2} + 36 + 90 y = 216

in the form of the standard circle equation

(x - 0)^{2} + (y - (- 5))^{2} = (35)^{2}

Therefore the circle properties are:

(a, b) = (0, - 5), r = 35

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

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

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

4 x^{2} + 24 x + 4 y^{2} - 20 y = - 45

(x - 20)^{2} + (y - 24)^{2} = 625

What is 9x^2+9y^2+36+90y=216 ?
The solution to 9x^2+9y^2+36+90y=216 is Circle with (a,b)=(0,-5),r=3sqrt(5)