What is x^2-6x-8y+y^2+9=0 ?

The solution to x^2-6x-8y+y^2+9=0 is Circle with (a,b)=(3,4),r=4

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x^2-6x-8y+y^2+9=0

x^{2} - 6 x - 8 y + y^{2} + 9 = 0

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

Solution steps

x^{2} - 6 x - 8 y + y^{2} + 9 = 0

Rewrite

x^{2} - 6 x - 8 y + y^{2} + 9 = 0

in the form of the standard circle equation

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

Therefore the circle properties are:

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

x^{2} + 4 x + y^{2} - 3 y - 18 = 0

x^{2} + 14 x + y^{2} - 2 y + 25 = 0

x^{2} - 8 y + 6 x + y^{2} - 30 = 0

x^{2} + y^{2} - 26 x + 2 y + 120 = 0

x^{2} + y^{2} - 8 x - 8 (2 x + 1) + 27 = 0

What is x^2-6x-8y+y^2+9=0 ?
The solution to x^2-6x-8y+y^2+9=0 is Circle with (a,b)=(3,4),r=4