What is x^{(2)}+y^{(2)}-6x+2y-6=0 ?

The solution to x^{(2)}+y^{(2)}-6x+2y-6=0 is Circle with (a,b)=(3,-1),r=4

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x^{(2)}+y^{(2)}-6x+2y-6=0

x^{(2)} + y^{(2)} - 6 x + 2 y - 6 = 0

(a, b) = (3, - 1), r = 4

Solution steps

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

Rewrite

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

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (3, - 1), r = 4

2 x^{2} + 2 y^{2} + 14 x - 10 y + 35 = 0

x^{2} + y^{2} + x + 6 y - 55 = 0

x^{2} + y^{2} - 8 x - 6 y - 19 = 0

(x - \frac{23}{5})^{2} + (y + \frac{2}{5})^{2} = \frac{373}{25}

(x + 3)^{2} + (y + 2)^{2} = 45

What is x^{(2)}+y^{(2)}-6x+2y-6=0 ?
The solution to x^{(2)}+y^{(2)}-6x+2y-6=0 is Circle with (a,b)=(3,-1),r=4