Question

PLEASE ANSWER! 10 Points

Solve the equation below
A. x = -2
B. x = 0, 2
C. x = 2
D. x = 0, -2

Answer 1

Explanation:

refer the attachment......

Answer 2

C. x=2

EXPLANATION

The given equation is

`(x + 4)/(6x) = (1)/(x)`

Cross multiply to get,

`6x = x(x + 4)`

Expand to get:

`6x = {x}^(2) + 4x`

`{x}^(2) + 4x - 6x = 0`

`{x}^(2) - 2x = 0`

`x(x - 2) = 0`

`x = 0 \: or \: x = 2`

But the domain is

`x \\e0`

Therefore the solution is x=2.