What is x^2-6x+y^2=16 ?

The solution to x^2-6x+y^2=16 is Circle with (a,b)=(3,0),r=5

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x^2-6x+y^2=16

x^{2} - 6 x + y^{2} = 16

(a, b) = (3, 0), r = 5

Solution steps

x^{2} - 6 x + y^{2} = 16

Rewrite

x^{2} - 6 x + y^{2} = 16

in the form of the standard circle equation

(x - 3)^{2} + (y - 0)^{2} = 5^{2}

Therefore the circle properties are:

(a, b) = (3, 0), r = 5

4 x^{2} + 8 x + 4 y^{2} + 4 = 16

x^{2} - \frac{5}{2} x + (y + 2)^{2} = 50

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

(x - 12)^{2} + (y + 7)^{2} = 961

(x + 4)^{2} + (y + 1)^{2} = 100

What is x^2-6x+y^2=16 ?
The solution to x^2-6x+y^2=16 is Circle with (a,b)=(3,0),r=5