What is a^2+b^2=a+2 ?

The solution to a^2+b^2=a+2 is Circle with (a,b)=(1/2 ,0),r= 3/2

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a^2+b^2=a+2

a^{2} + b^{2} = a + 2

(a, b) = (\frac{1}{2}, 0), r = \frac{3}{2}

Solution steps

a^{2} + b^{2} = a + 2

Rewrite

a^{2} + b^{2} = a + 2

in the form of the standard circle equation

(a - \frac{1}{2})^{2} + (b - 0)^{2} = (\frac{3}{2})^{2}

Therefore the circle properties are:

(a, b) = (\frac{1}{2}, 0), r = \frac{3}{2}

x^{2} + y^{2} - 8 x - 6 y - 16 = 0

8 - 9 (x^{2} + y^{2}) = 9 (x^{2} + y^{2})

a^{2} + b^{2} + 0.02 = 1

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

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

What is a^2+b^2=a+2 ?
The solution to a^2+b^2=a+2 is Circle with (a,b)=(1/2 ,0),r= 3/2