What is 36x^2-36+36y^2+72y=279 ?

The solution to 36x^2-36+36y^2+72y=279 is Circle with (a,b)=(0,-1),r=(sqrt(39))/2

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36x^2-36+36y^2+72y=279

36 x^{2} - 36 + 36 y^{2} + 72 y = 279

(a, b) = (0, - 1), r = \frac{39}{2}

Solution steps

36 x^{2} - 36 + 36 y^{2} + 72 y = 279

Rewrite

36 x^{2} - 36 + 36 y^{2} + 72 y = 279

in the form of the standard circle equation

(x - 0)^{2} + (y - (- 1))^{2} = (\frac{39}{2})^{2}

Therefore the circle properties are:

(a, b) = (0, - 1), r = \frac{39}{2}

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

(x + 4)^{2} + (y + 1)^{2} = 30

x^{2} + y^{2} - 2 x - 6 y - 3 = 0

x^{2} + y^{2} - 8 x + 6 y = 24

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

What is 36x^2-36+36y^2+72y=279 ?
The solution to 36x^2-36+36y^2+72y=279 is Circle with (a,b)=(0,-1),r=(sqrt(39))/2