Question

Which statement best reflects the solution(s) of the equation?


`(1)/(x-1) +(2)/(x) =(x)/(x-1)`

Answer 1

There is only one solution: x = 2.

The solution x = 1 is an extraneous solution.

Explanation:

I hope this helps :)

Answer 2

There's only one solution x = 2

Thr solution x = 1 is an extraneous solution.

Explanation:

`(1)/(x - 1) + (2)/(x) = (x)/(x - 1) \\ (2)/(x) = (x)/(x - 1) - (1)/(x - 1) \\ (2)/(x) = (x - 1)/(x - 1) \\ (2)/(x) = 1 \\ 2 = x`