What is x^2+y^2-2x+6y-15=0 ?

The solution to x^2+y^2-2x+6y-15=0 is Circle with (a,b)=(1,-3),r=5

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x^2+y^2-2x+6y-15=0

x^{2} + y^{2} - 2 x + 6 y - 15 = 0

(a, b) = (1, - 3), r = 5

Solution steps

x^{2} + y^{2} - 2 x + 6 y - 15 = 0

Rewrite

x^{2} + y^{2} - 2 x + 6 y - 15 = 0

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (1, - 3), r = 5

y^{2} = - 12 x

(x + 92)^{2} + (y + 54)^{2} = 73

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

\frac{x ^{2}}{4} + \frac{y ^{2}}{64} = 1

\frac{( x - 7 ) ^{2}}{4} + \frac{( y + 3 ) ^{2}}{16} = 1

What is x^2+y^2-2x+6y-15=0 ?
The solution to x^2+y^2-2x+6y-15=0 is Circle with (a,b)=(1,-3),r=5