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Part 2 of mathematical modeling question

  1. Apr 7, 2012 #1
    Okay so after tearing my face off trying to find a 2-cycle, I've managed to make significant process. I divided an enormous polynomial with another polynomial and got a god awful mess which incidentally was correct. Now I'm having trouble solving this equation with x in terms of c:

    -3x3-3((c2+8).5-c)x2+(6c2+6c((c2+8).5-8)x-8c-8((c2+8).5)

    There are 3 solutions but I have no idea how to reach them:
    http://www.wolframalpha.com/input/?...6c(c^2+8)^.5-8)x-8c-8((c^2+8)^.5)+solve+for+x
     
  2. jcsd
  3. Apr 7, 2012 #2

    Office_Shredder

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    wolfram alpha probably used the cubic polynomial solving formula and reduced it massively via algebra
     
  4. Apr 7, 2012 #3
    ah, yes. I'll try to look that up.
     
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