What is x^2+y^2=14x+16y+6 ?

The solution to x^2+y^2=14x+16y+6 is Circle with (a,b)=(7,8),r=sqrt(119)

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x^2+y^2=14x+16y+6

x^{2} + y^{2} = 14 x + 16 y + 6

(a, b) = (7, 8), r = 119

Solution steps

x^{2} + y^{2} = 14 x + 16 y + 6

Rewrite

x^{2} + y^{2} = 14 x + 16 y + 6

in the form of the standard circle equation

(x - 7)^{2} + (y - 8)^{2} = (119)^{2}

Therefore the circle properties are:

(a, b) = (7, 8), r = 119

x^{2} + y^{2} - 14 y + 34 = 50

x^{2} + y^{2} - 8 y + 4 x + 9 = 0

x^{2} + y^{2} + 6 y - 72 = 0

x^{2} - 5 x + y^{2} = 0

x^{2} + y^{2} - y - 1 = 0

What is x^2+y^2=14x+16y+6 ?
The solution to x^2+y^2=14x+16y+6 is Circle with (a,b)=(7,8),r=sqrt(119)