Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Tau and phi (conjugates?) fibonacci sequence

  1. Jul 3, 2011 #1
    1. The problem statement, all variables and given/known data
    Would tau and phi be considered conjugates?

    2. Relevant equations
    [itex]\tau[/itex] = [itex]\frac{1-\sqrt{5}}{2}[/itex]
    [itex]\phi[/itex] = [itex]\frac{1+\sqrt{5}}{2}[/itex]

    3. The attempt at a solution
    I know that a complex number such as 1+2i would have 1-2i as a conjugate. However, for fractions, I can't quite remember if the same rule applies.

    Thank you in advance
  2. jcsd
  3. Jul 4, 2011 #2


    User Avatar
    Homework Helper

    yes, the reason is tau x phi will give a results with not square roots in the expression

    similarly for complex numbers, the result of multiplying conjugates is real
  4. Jul 4, 2011 #3
    Thank you! This will help me better understand the binet formula :biggrin:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook