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

The solution to x^2+y^2-14x+2y=-14 is Circle with (a,b)=(7,-1),r=6

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

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

(a, b) = (7, - 1), r = 6

Solution steps

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

Rewrite

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

in the form of the standard circle equation

(x - 7)^{2} + (y - (- 1))^{2} = 6^{2}

Therefore the circle properties are:

(a, b) = (7, - 1), r = 6

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

4 x^{2} + 4 y^{2} + 12 x + 16 y - 11 = 0

x^{2} = 16 - y^{2}

2 x^{2} + 2 y^{2} - 4 x + 12 y - 18 = 0

4 x^{2} + 4 y^{2} + 40 x - 32 y = 5

What is x^2+y^2-14x+2y=-14 ?
The solution to x^2+y^2-14x+2y=-14 is Circle with (a,b)=(7,-1),r=6