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Algebra prove

  1. Sep 2, 2010 #1
    1. The problem statement, all variables and given/known data

    If x^2+x+G=0 and y=x+1/x , prove that Gy^3+(y-G)^3=0

    2. Relevant equations



    3. The attempt at a solution

    Gy^3=x^5+3x^3+3x+1/x+x^4+3x^2+3+1/x^2

    (y-G)^3=1/x^3+6/x+3+12x+12x^2+12x^4+6x^5+x^6

    They are not equal.

    Is this the correct way of doing ?
     
  2. jcsd
  3. Sep 2, 2010 #2

    eumyang

    User Avatar
    Homework Helper

    Does
    [tex]y = x + \frac{1}{x}[/tex]
    OR
    [tex]y = \frac{x + 1}{x}[/tex]
    ?


    69
     
  4. Sep 2, 2010 #3
    [tex]y=x+\frac{1}{x}[/tex]
     
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