What is 8x+x^2-2y=64-y^2 ?

The solution to 8x+x^2-2y=64-y^2 is Circle with (a,b)=(-4,1),r=9

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8x+x^2-2y=64-y^2

8 x + x^{2} - 2 y = 64 - y^{2}

(a, b) = (- 4, 1), r = 9

Solution steps

8 x + x^{2} - 2 y = 64 - y^{2}

Rewrite

8 x + x^{2} - 2 y = 64 - y^{2}

in the form of the standard circle equation

(x - (- 4))^{2} + (y - 1)^{2} = 9^{2}

Therefore the circle properties are:

(a, b) = (- 4, 1), r = 9

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

(1) y = 2 x^{2}

y^{2} = x - 1

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

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

What is 8x+x^2-2y=64-y^2 ?
The solution to 8x+x^2-2y=64-y^2 is Circle with (a,b)=(-4,1),r=9