What is x^2-1x+y^2-3y-20=0 ?

The solution to x^2-1x+y^2-3y-20=0 is Circle with (a,b)=(1/2 , 3/2),r=(3sqrt(5))/(sqrt(2))

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x^2-1x+y^2-3y-20=0

x^{2} - 1 x + y^{2} - 3 y - 20 = 0

(a, b) = (\frac{1}{2}, \frac{3}{2}), r = \frac{3 5}{2}

Solution steps

x^{2} - 1 \cdot x + y^{2} - 3 y - 20 = 0

Rewrite

x^{2} - 1 x + y^{2} - 3 y - 20 = 0

in the form of the standard circle equation

(x - \frac{1}{2})^{2} + (y - \frac{3}{2})^{2} = (\frac{3 5}{2})^{2}

Therefore the circle properties are:

(a, b) = (\frac{1}{2}, \frac{3}{2}), r = \frac{3 5}{2}

(x - 2)^{2} + (y + 5)^{2} = \frac{1}{9}

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

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

(x + 16)^{2} + (y + 7)^{2} = 9

x^{2} + y^{2} + 6 x + 14 y + 49 = 0

What is x^2-1x+y^2-3y-20=0 ?
The solution to x^2-1x+y^2-3y-20=0 is Circle with (a,b)=(1/2 , 3/2),r=(3sqrt(5))/(sqrt(2))