What is x^2+y^2+16x-14y=316 ?

The solution to x^2+y^2+16x-14y=316 is Circle with (a,b)=(-8,7),r=sqrt(429)

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x^2+y^2+16x-14y=316

x^{2} + y^{2} + 16 x - 14 y = 316

(a, b) = (- 8, 7), r = 429

Solution steps

x^{2} + y^{2} + 16 x - 14 y = 316

Rewrite

x^{2} + y^{2} + 16 x - 14 y = 316

in the form of the standard circle equation

(x - (- 8))^{2} + (y - 7)^{2} = (429)^{2}

Therefore the circle properties are:

(a, b) = (- 8, 7), r = 429

x^{2} + 2 x + y^{2} = 55 + 10 y

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

x^{2} + y^{2} + 2 x - 7 = 0

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

x^{2} + y^{2} - 6 x - 8 y - 26 = 0

What is x^2+y^2+16x-14y=316 ?
The solution to x^2+y^2+16x-14y=316 is Circle with (a,b)=(-8,7),r=sqrt(429)