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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of the standard circle equation

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

Therefore the circle properties are:

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

(x + i y - 1) ((x - i y) - 1) = 4 (x + i y + 1) (x - i y + 1)

(x + 3)^{2} + (y - 5)^{2} = 81

(2 x^{2} + 8 x) + (2 y^{2}) + 7 = 0

(x - 5)^{2} + (y - 7)^{2} = 16

(x + 5)^{2} + (y - 3)^{2} = 1

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