1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Olympiad Question:

  1. Sep 14, 2008 #1
    If [tex]\alpha,\beta\ and\ \gamma[/tex] are the roots of the eqn.


    then show that [tex](\alpha-x)(\beta-x)(\gamma-x)+1=0[/tex]
  2. jcsd
  3. Sep 14, 2008 #2
    Do you mean we should show that [tex](\alpha-x)(\beta-x)(\gamma-x)+1=0[/tex] for all x? What about [tex]x=\alpha[/tex], isn't that a counterexample? Maybe I'm missing something vital, but to me it seems incorrect.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook