What is y=x^2+y^2-6x-2y-26 ?

The solution to y=x^2+y^2-6x-2y-26 is Circle with (a,b)=(3, 3/2),r=(sqrt(149))/2

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y=x^2+y^2-6x-2y-26

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

(a, b) = (3, \frac{3}{2}), r = \frac{149}{2}

Solution steps

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

Rewrite

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

in the form of the standard circle equation

(x - 3)^{2} + (y - \frac{3}{2})^{2} = (\frac{149}{2})^{2}

Therefore the circle properties are:

(a, b) = (3, \frac{3}{2}), r = \frac{149}{2}

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

(X - 5)^{2} + (y - 4)^{2} = 25

(x + 5)^{2} + (y + 5)^{2} = 64

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

x^{2} + y^{2} + 4 x + 28 y = 175

What is y=x^2+y^2-6x-2y-26 ?
The solution to y=x^2+y^2-6x-2y-26 is Circle with (a,b)=(3, 3/2),r=(sqrt(149))/2