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

x^{2} + y^{2} - 6 x - 6 y = - 5

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

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

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

(x + 3)^{2} + (y + 2)^{2} = 25

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