What is x^2-6x+y^2-2y+6=0 ?

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

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

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

(a, b) = (3, 1), r = 2

Solution steps

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

Rewrite

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

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (3, 1), r = 2

(x + 4)^{2} + (y - 4)^{2} = 9

(x - 3)^{2} + (y + 4)^{2} = 25

x^{2} - 3 x + y^{2} + 1 = 0

x^{2} + y^{2} + 4 x - 10 y - 7 = 0

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

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