What is x^2+y^2-6y=7 ?

The solution to x^2+y^2-6y=7 is Circle with (a,b)=(0,3),r=4

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x^2+y^2-6y=7

x^{2} + y^{2} - 6 y = 7

(a, b) = (0, 3), r = 4

Solution steps

x^{2} + y^{2} - 6 y = 7

Rewrite

x^{2} + y^{2} - 6 y = 7

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (0, 3), r = 4

x^{2} + y^{2} = 49 + (- 2)

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

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

(x^{2} - 4 x) + (y^{2} - 6 y) = 23

(x + 2)^{(2)} + (y + 5)^{(2)} = 144

What is x^2+y^2-6y=7 ?
The solution to x^2+y^2-6y=7 is Circle with (a,b)=(0,3),r=4