What is x^{(2)}+y^{(2)}-6x+8y+6=0 ?

The solution to x^{(2)}+y^{(2)}-6x+8y+6=0 is Circle with (a,b)=(3,-4),r=sqrt(19)

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

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

(a, b) = (3, - 4), r = 19

Solution steps

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

Rewrite

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

in the form of the standard circle equation

(x - 3)^{2} + (y - (- 4))^{2} = (19)^{2}

Therefore the circle properties are:

(a, b) = (3, - 4), r = 19

(x + 3)^{2} + (y - 7)^{2} = 58

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

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

x^{2} + y^{2} - 10 x + 4 y - 56 = 0

x^{2} + y^{2} = 900

What is x^{(2)}+y^{(2)}-6x+8y+6=0 ?
The solution to x^{(2)}+y^{(2)}-6x+8y+6=0 is Circle with (a,b)=(3,-4),r=sqrt(19)