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Thread: Solving complex Variabled polynomials

  1. #1 Solving complex Variabled polynomials 
    Forum Masters Degree organic god's Avatar
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    Hey Guys.

    I'm having trouble solving polynomial equations which use complex variables.

    So for an example solve z^2 + 2z + 1 = 0
    (i dont know what the answer to that is just made it up)

    Anyway what is the procedure to solve such polynomials?


    everything is mathematical.
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  3. #2 Re: Solving complex Variabled polynomials 
    . DrRocket's Avatar
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    Quote Originally Posted by organic god
    Hey Guys.

    I'm having trouble solving polynomial equations which use complex variables.

    So for an example solve z^2 + 2z + 1 = 0
    (i dont know what the answer to that is just made it up)

    Anyway what is the procedure to solve such polynomials?
    You solve it as a quadratic equation just as you would with real variables. The only difference is that some roots (square roots in the case of quadratics) will exist that do not exist as real numbers. In this particular case Z= -1 with multiplicity 2.


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  4. #3  
    Forum Professor river_rat's Avatar
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    There is an important lesson in abstraction here - go through the derivation of the quadratic equation solution and see what formal properties you use (existence of identities etc).
    As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong.
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