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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


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

    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:
    (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


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    Two great minds with a single thought!
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