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!

Homework Help: Need help with algebra at the end of fluids/waves problem

  1. Sep 26, 2012 #1


    User Avatar

    [SOLVED]Need help with algebra at the end of fluids/waves problem

    EDIT: Ignore this post. Stupid. Solution was obvious. Unfortunately not obvious soon enough :/

    1. The problem statement, all variables and given/known data
    The fluids problem is not really important.
    I have solved the wave problem to get the following dispersion equation:

    I now need to write it as:


    3. The attempt at a solution
    Substitute into the quadratic formula:

    [itex]\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}[/itex]


    [itex]\frac{\omega}{k}=\frac{(V_{1}+V_{2})\pm \sqrt{(-(V_{1}+V_{2}))^{2}-4(\frac{1}{2}(V_{1}^{2}+V_{2}^{2}))}}{2}[/itex]

    [itex]=\frac{1}{2}(V_{1}+V_{2})\pm \frac{\sqrt{(V_{1}+V_{2})^{2}-2(V_{1}^{2}+V_{2}^{2})}}{2}[/itex]

    Any ideas what to do with the terms inside the squareroot? Any help would be much appreciated
    Last edited: Sep 26, 2012
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted