What is y^2-6y-4x=-x^2+156 ?

The solution to y^2-6y-4x=-x^2+156 is Circle with (a,b)=(2,3),r=13

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y^2-6y-4x=-x^2+156

y^{2} - 6 y - 4 x = - x^{2} + 156

(a, b) = (2, 3), r = 13

Solution steps

y^{2} - 6 y - 4 x = - x^{2} + 156

Rewrite

y^{2} - 6 y - 4 x = - x^{2} + 156

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (2, 3), r = 13

x^{2} + y^{2} + 6 x - 10 y - 26 = 0

3 x^{2} + 3 y^{2} - 6 y = 1

x^{2} + y^{2} + 6 x + 2 y + 1 = 0

x^{2} + y^{2} - 3 x + 4 y - 1 = 0

x^{2} + y^{2} - 4 x + 8 y = - 11

What is y^2-6y-4x=-x^2+156 ?
The solution to y^2-6y-4x=-x^2+156 is Circle with (a,b)=(2,3),r=13