What is x(x-6)+y(y+4)=3 ?

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

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x(x-6)+y(y+4)=3

x (x - 6) + y (y + 4) = 3

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

Solution steps

x (x - 6) + y (y + 4) = 3

Rewrite

x (x - 6) + y (y + 4) = 3

in the form of the standard circle equation

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

Therefore the circle properties are:

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

x^{2} + y^{2} - 18 x + 6 y + 81 = 0

x^{2} + y^{2} - 4 x + 12 y - 8 = 0

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

x^{2} + y^{2} + 18 x - 6 y + 54 = 0

(x - 1) (4 - x) + (y + 2) (6 - y) = 0

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