What is 6x^2+6y^2-24x+36y=72 ?

The solution to 6x^2+6y^2-24x+36y=72 is Circle with (a,b)=(2,-3),r=5

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6x^2+6y^2-24x+36y=72

6 x^{2} + 6 y^{2} - 24 x + 36 y = 72

(a, b) = (2, - 3), r = 5

Solution steps

6 x^{2} + 6 y^{2} - 24 x + 36 y = 72

Rewrite

6 x^{2} + 6 y^{2} - 24 x + 36 y = 72

in the form of the standard circle equation

(x - 2)^{2} + (y - (- 3))^{2} = 5^{2}

Therefore the circle properties are:

(a, b) = (2, - 3), r = 5

x^{2} + y^{2} - 2 (x + y) > 0

2 x^{2} + 2 y^{2} + 6 x - 8 y + 12 = 0

x^{2} + y^{2} + 8 x - 6 y - 15 = 0

16 x^{2} + 16 y^{2} + 8 x - 32 y = - 1

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

What is 6x^2+6y^2-24x+36y=72 ?
The solution to 6x^2+6y^2-24x+36y=72 is Circle with (a,b)=(2,-3),r=5