What is x^2+y^2-2x+6y+6=0 ?

The solution to x^2+y^2-2x+6y+6=0 is Circle with (a,b)=(1,-3),r=2

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x^2+y^2-2x+6y+6=0

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

(a, b) = (1, - 3), r = 2

Solution steps

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

Rewrite

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

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (1, - 3), r = 2

y = - x^{2} + 4 x + 1

25 x^{2} + 9 y^{2} = 225

\frac{y ^{2}}{64} - \frac{x ^{2}}{9} = 1

x^{2} + 4 y^{2} - 6 x + 16 y + 21 = 0

x^{2} + y^{2} - 6 x + 4 y + 9 = 0

What is x^2+y^2-2x+6y+6=0 ?
The solution to x^2+y^2-2x+6y+6=0 is Circle with (a,b)=(1,-3),r=2