1. Not finding help here? Sign up for a free 30min 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!

Solve (ab)^2 + ab - a^2 - 4b^2 = 0

  1. Oct 15, 2009 #1
    1. The problem statement, all variables and given/known data

    Solve the following equation for `a`.
    (ab)^2 + ab - a^2 - 4b^2 = 0


    3. The attempt at a solution

    ab( ab + 1 ) - a^2 -4b^2 =

    I perhaps should now use some sort of Diophantine equation.
    However, I am not sure.
     
  2. jcsd
  3. Oct 15, 2009 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Just treat it as a quadratic equation in 'a', regarding 'b' as a constant.
     
  4. Oct 15, 2009 #3
    hiya,

    treat b like a constant.
    maybe the best way to solve this for a is to put the equation in the form of a quadratic, like:
    ax^2+bx+c=0
    (in this case you will have a instead of x) then use the quadratic formula to find the value(s) for a.
     
  5. Oct 15, 2009 #4

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Two great minds with a single thought!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook