Question

Which of the following represents the solution to the rationalequation

Answer 1

The correct answer is option D. x = 16

Step-by-step explanation:

We have the equation:

`(2)/(x-8)=(4)/(x)`

We can take the reciprocal on both sides:

`(x-8)/(2)=(x)/(4)`

Then solve:

`(x)/(2)-(8)/(2)-(x)/(4)=0`
`(x)/(2)-(x)/(4)=4`
`(x)/(4)=4`
`x=4\cdot4=16`