What is x^2-6x+y^2+8y-24=0 ?

The solution to x^2-6x+y^2+8y-24=0 is Circle with (a,b)=(3,-4),r=7

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x^2-6x+y^2+8y-24=0

x^{2} - 6 x + y^{2} + 8 y - 24 = 0

(a, b) = (3, - 4), r = 7

Solution steps

x^{2} - 6 x + y^{2} + 8 y - 24 = 0

Rewrite

x^{2} - 6 x + y^{2} + 8 y - 24 = 0

in the form of the standard circle equation

(x - 3)^{2} + (y - (- 4))^{2} = 7^{2}

Therefore the circle properties are:

(a, b) = (3, - 4), r = 7

(x - 4)^{2} + (y + 3)^{2} = 36

(x - 9)^{2} + (y + 4)^{2} = 25

2 x^{2} + 2 y^{2} + 10 x - 6 y - 55 = 0

x^{2} + y^{2} - 8 y + 7 = 0

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

What is x^2-6x+y^2+8y-24=0 ?
The solution to x^2-6x+y^2+8y-24=0 is Circle with (a,b)=(3,-4),r=7