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

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

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a^2+b^2=a+b

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

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

Solution steps

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

Rewrite

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

in the form of the standard circle equation

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

Therefore the circle properties are:

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

1 - x^{2} - y^{2} > 0

25^{2} = (x - 0)^{2} + (y - (- 0))^{2}

x^{2} + y^{2} - 14 x - 8 y + 1 = 0

(x - 3)^{2} + (y - 4)^{2} = 5^{2}

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

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