What is x^2+y^2+14x-16y+86=0 ?

The solution to x^2+y^2+14x-16y+86=0 is Circle with (a,b)=(-7,8),r=3sqrt(3)

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x^2+y^2+14x-16y+86=0

x^{2} + y^{2} + 14 x - 16 y + 86 = 0

(a, b) = (- 7, 8), r = 33

Solution steps

x^{2} + y^{2} + 14 x - 16 y + 86 = 0

Rewrite

x^{2} + y^{2} + 14 x - 16 y + 86 = 0

in the form of the standard circle equation

(x - (- 7))^{2} + (y - 8)^{2} = (33)^{2}

Therefore the circle properties are:

(a, b) = (- 7, 8), r = 33

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

2 x^{2} + 2 y^{2} + 4 x - 12 y + 11 = 0

a^{2} + b^{2} = 2009

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

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

What is x^2+y^2+14x-16y+86=0 ?
The solution to x^2+y^2+14x-16y+86=0 is Circle with (a,b)=(-7,8),r=3sqrt(3)