SOLUTION: please solve this because i need it: ((x-1)/(x))^2-(x-1)/(x)-2=0. Thanks!

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: please solve this because i need it: ((x-1)/(x))^2-(x-1)/(x)-2=0. Thanks!      Log On


   

Question 350047: please solve this because i need it: ((x-1)/(x))^2-(x-1)/(x)-2=0. Thanks!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Substitute, let u=%28x-1%29%2Fx
Then,
u%5E2-u-2=0
%28u-2%29%28u%2B1%29=0
Two solutions:
u-2=0
u=2
%28x-1%29%2Fx=2
x-1=2x
highlight%28x=-1%29
.
.
.
u%2B1=0
u=-1
%28x-1%29%2Fx=-1
x-1=-x
2x=1
highlight%28x=1%2F2%29