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Simultaneous nonlinear equations

  1. Sep 7, 2008 #1
    Hi. I have the following two equations


    How would you go about solving these equations? I want to avoid square roots because they make the results ambiguous.

    I myself have found that


    but a better solution is


    because it avoids the sign ambiguity. Yet another good solution is


    but I have no clue how to arrive at these results. Any suggestions?
  2. jcsd
  3. Sep 8, 2008 #2
    Are there any general methods for solving nonlinear equations analytically? I only know of the substitution method and then applying the quadratic forumla.
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