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A Simple intersection

  1. Sep 4, 2005 #1
    Hi,:tongue2:

    so, I can't solve the embarissing:

    [tex] x^{2} = -\frac{1}{2}ln(x) [/tex]

    , where [tex] x \in ]0, 2] [/tex] or [tex] (0 < x \geq 2 )[/tex]

    any hep would be nice...
    thanx for your pacience!
     
  2. jcsd
  3. Sep 4, 2005 #2
    Paragon: Equations of this kind can't be solved exactly, i.e the solutions can't be expressed in elementary functions. You can use a numerical method, such as Newton's Method, to approximate the solution.
     
  4. Sep 6, 2005 #3
  5. Jun 21, 2006 #4
    Hi, why dont you try with Wright omega function it suits your requirement

    y+lny=z
    or as suggested by others use LambertW function
     
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