What is 6x^2+6y^2+12x-24y=36 ?

The solution to 6x^2+6y^2+12x-24y=36 is Circle with (a,b)=(-1,2),r=sqrt(11)

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6x^2+6y^2+12x-24y=36

6 x^{2} + 6 y^{2} + 12 x - 24 y = 36

(a, b) = (- 1, 2), r = 11

Solution steps

6 x^{2} + 6 y^{2} + 12 x - 24 y = 36

Rewrite

6 x^{2} + 6 y^{2} + 12 x - 24 y = 36

in the form of the standard circle equation

(x - (- 1))^{2} + (y - 2)^{2} = (11)^{2}

Therefore the circle properties are:

(a, b) = (- 1, 2), r = 11

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

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

x^{2} - 10 x + y^{2} + 14 y + 25 = 0

x^{2} + y^{2} - 121 = 0

x^{2} + y^{2} - 4 y + 3 = 0

What is 6x^2+6y^2+12x-24y=36 ?
The solution to 6x^2+6y^2+12x-24y=36 is Circle with (a,b)=(-1,2),r=sqrt(11)