What is 9x^2+9y^2-6x+24y=19 ?

The solution to 9x^2+9y^2-6x+24y=19 is Circle with (a,b)=(1/3 ,-4/3),r=2

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9x^2+9y^2-6x+24y=19

9 x^{2} + 9 y^{2} - 6 x + 24 y = 19

(a, b) = (\frac{1}{3}, - \frac{4}{3}), r = 2

Solution steps

9 x^{2} + 9 y^{2} - 6 x + 24 y = 19

Rewrite

9 x^{2} + 9 y^{2} - 6 x + 24 y = 19

in the form of the standard circle equation

(x - \frac{1}{3})^{2} + (y - (- \frac{4}{3}))^{2} = 2^{2}

Therefore the circle properties are:

(a, b) = (\frac{1}{3}, - \frac{4}{3}), r = 2

2 x^{2} + 2 y^{2} + 12 x - 2 y - 3 = 0

x^{2} + y^{2} + 8 x - 9 y = 6

2 x^{2} + 2 y^{2} - 14 x + 18 y = 7

x^{2} + y^{2} + 8 y = 3

x^{2} + y^{2} - 4 x - 6 y - 12 = 0

What is 9x^2+9y^2-6x+24y=19 ?
The solution to 9x^2+9y^2-6x+24y=19 is Circle with (a,b)=(1/3 ,-4/3),r=2