SOLUTION: I'm stuck on this one. Do I plug something into something? Not sure what book this is from. Let f(x)= 2/x + 1/x-1. Find all a for which f(a)= f(a+1). Thanks!

Question 44817: I'm stuck on this one. Do I plug something into something? Not sure what book this is from.
Let f(x)= 2/x + 1/x-1. Find all a for which f(a)= f(a+1).
Thanks!
Answer by adamchapman(301) (Show Source): You can put this solution on YOUR website!
f(a)=f(a+1) means that the function has the same value x=1 and when x=(a+1)

so:

Now rearrange to find a:

Use this link:
http://www.1728.com/cubic2.htm
to find the root(s) of this equation.
I hope this helps.
P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk
Adam

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