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Is there a short form for this equation?

  1. May 13, 2014 #1
    I am trying to write down a compact form of[STRIKE] S = A+L/(B+C)+L/(B-C), does it make sense in general to write down S = A+L/(B[itex]\pm[/itex]C)?[/STRIKE]

    Update:

    I have simplified it too much in the minimal working example, the denominators is actually more complicated, let me elaborate:

    [itex]S=A+\frac{L}{D+(B+C)^{2}}+\frac{L}{D+(B-C)^{2}}[/itex]

    Any ideas?
     
    Last edited: May 13, 2014
  2. jcsd
  3. May 13, 2014 #2

    Orodruin

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    No, it does not make sense to write it that way.

    What was wrong with S = A + 2 L B/(B^2 - C^2)?
     
  4. May 13, 2014 #3

    adjacent

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    If you write like that, it means the answer is:
    ##S=A+\frac{L}{B+C} or S=A+\frac{L}{B-C}##
    Which is not correct.
     
  5. May 13, 2014 #4
    I have simplified it too much in the minimal working example, the denominators is actually more complicated, let me elaborate:

    [itex]S=A+\frac{L}{D+(B+C)^{2}}+\frac{L}{D+(B-C)^{2}}[/itex]

    Any ideas?
     
  6. May 13, 2014 #5

    adjacent

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    From where did this ##D## come from?
     
  7. May 13, 2014 #6
    D is supposed to be there, I had ignored the square in the first post, in which case D is not neccessary. Now it is. Any ideas how to simplify it now?
     
  8. May 13, 2014 #7

    adjacent

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    Show us your attempt
     
  9. May 13, 2014 #8
    This is not homework, I believe it is the simplest form, some people might even recognise the equation (it's a famous one), I just wanted it to fit in 1 line on a double column publication
     
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