What is (x+6)^2+y^2=8 ?

The solution to (x+6)^2+y^2=8 is Circle with (a,b)=(-6,0),r=sqrt(8)

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(x+6)^2+y^2=8

(x + 6)^{2} + y^{2} = 8

(a, b) = (- 6, 0), r = 8

Solution steps

(x + 6)^{2} + y^{2} = 8

Rewrite

(x + 6)^{2} + y^{2} = 8

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (- 6, 0), r = 8

(x + 5)^{2} + (y + 1)^{2} = 36

(x + 7)^{2} + (y - 1)^{2} = 225

x^{2} + 14 x + 49 + y^{2} - 14 y + 49 = 49

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

x^{2} + 6 x + y^{2} - 2 y + 1 = 0

What is (x+6)^2+y^2=8 ?
The solution to (x+6)^2+y^2=8 is Circle with (a,b)=(-6,0),r=sqrt(8)