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Find an effeciant way to deduce the roots of the equatioon

  1. Nov 10, 2012 #1
    1. The problem statement, all variables and given/known data

    Consider the fourth order equation x4 + 5x2 + 6 = 0.
    (a) Suggest an efficient way to find all roots of this equation.
    (b) List all the roots.


    2. Relevant equations



    3. The attempt at a solution

    -I plotted the graph.
    -I thought of iteration - Is that correct ? For that I have to change the form of the equation but then it is not given - Usually for iteration, they mention.
    -I thought of first derivative but what use is it going to be ?
     
  2. jcsd
  3. Nov 10, 2012 #2

    micromass

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    Can you find a suitable substitution??

    By the way, if you want to type an exponent such as x2. Then you can do this by

    Code (Text):

    [NOPARSE]x[SUP]2[/SUP][/NOPARSE]
     
     
  4. Nov 10, 2012 #3
    Yes, I got it with substitution !

    Thanks a lot ! And I will use the proper way for exponent next time.
     
  5. Nov 10, 2012 #4

    Ray Vickson

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    Or: you can just write x^2 and x^4; these are also perfectly understandable.

    RGV
     
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