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Homework Help: Set of equations

  1. May 6, 2010 #1
    1. The problem statement, all variables and given/known data
    I want to show that for [tex] v \leq 0 [/tex] there's no solution for the this set of equations:

    [tex]
    N=M+K+v
    [/tex]

    [tex]
    \sqrt{N^2 +Np^2} = \sqrt{M^2+Mp^2 }+\sqrt{K^2+Kp^2}
    [/tex]

    M,K and v are natural numbers. p^2 is a given real number.

    2. Relevant equations
    In an other situation the answer is as follows:

    http://img413.imageshack.us/img413/9031/53455608.png [Broken]

    3. The attempt at a solution
    I've tried the same steps as above but failed. Can I adapt the proof or do I need to do something else?
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
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