What is x^2-4x+y^2-6y=3 ?

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

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x^2-4x+y^2-6y=3

x^{2} - 4 x + y^{2} - 6 y = 3

(a, b) = (2, 3), r = 4

Solution steps

x^{2} - 4 x + y^{2} - 6 y = 3

Rewrite

x^{2} - 4 x + y^{2} - 6 y = 3

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (2, 3), r = 4

(x - 9)^{2} + (y - 2)^{2} = 25

(x + 9)^{2} + (y - 3)^{2} = 80

x^{2} + y^{2} + 4 x - 20 y + 40 = 0

(y + 4)^{2} + (x - 3)^{2} = 104

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

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