What is x^2+y^2+14x-12y=-81 ?

The solution to x^2+y^2+14x-12y=-81 is Circle with (a,b)=(-7,6),r=2

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x^2+y^2+14x-12y=-81

x^{2} + y^{2} + 14 x - 12 y = - 81

(a, b) = (- 7, 6), r = 2

Solution steps

x^{2} + y^{2} + 14 x - 12 y = - 81

Rewrite

x^{2} + y^{2} + 14 x - 12 y = - 81

in the form of the standard circle equation

(x - (- 7))^{2} + (y - 6)^{2} = 2^{2}

Therefore the circle properties are:

(a, b) = (- 7, 6), r = 2

(x - 3)^{2} + (y - 4)^{2} = 1^{2}

4 x^{(2)} + 4 y^{(2)} - 24 x + 16 y + 51 = 0

x^{2} + y^{2} + 12 x - 10 y = - 45

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

x^{2} - 16 x + 64 + y^{2} - 14 x + 49 = 0

What is x^2+y^2+14x-12y=-81 ?
The solution to x^2+y^2+14x-12y=-81 is Circle with (a,b)=(-7,6),r=2