What is x^2+y^2+8x-6y+9=0 ?

The solution to x^2+y^2+8x-6y+9=0 is Circle with (a,b)=(-4,3),r=4

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x^2+y^2+8x-6y+9=0

x^{2} + y^{2} + 8 x - 6 y + 9 = 0

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

Solution steps

x^{2} + y^{2} + 8 x - 6 y + 9 = 0

Rewrite

x^{2} + y^{2} + 8 x - 6 y + 9 = 0

in the form of the standard circle equation

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

Therefore the circle properties are:

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

(x - 5)^{2} + (y - 2)^{2} = 36

4 x^{2} + 4 y^{2} - 12 x + 16 y - 5 = 0

\frac{( x - 5 ) ^{2} + y ^{2}}{25} = 1

(x - 4)^{2} + y^{2} - 4 = 0

x^{2} + y^{2} + 4 x - 6 y + 3 = 0

What is x^2+y^2+8x-6y+9=0 ?
The solution to x^2+y^2+8x-6y+9=0 is Circle with (a,b)=(-4,3),r=4