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Math Help - Find z in complex equation ?

  1. #1
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    Question Find z in complex equation ?

    Hallo there!
    In this problem I need to find all z number z \in C. in the following equation.


    \mid z-1\mid =5

    and

    \mid 4-z^2\mid =z
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  2. #2
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    Quote Originally Posted by Kluringen View Post
    In this problem I need to find all z number z \in C. in the following equation.
    \mid z-1\mid =5 and

    \mid 4-z^2\mid =z
    The first one is simply a circle of radius 5 and center (1,0).

    The second has one two real positive roots? WHY?
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  3. #3
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    Quote Originally Posted by Plato View Post
    The first one is simply a circle of radius 5 and center (1,0).

    The second has one two real positive roots? WHY?
    Ok, but I need to find the roots to this problem with help of pen and paper, no calculator or mathematica etc.
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  4. #4
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    Quote Originally Posted by Kluringen View Post
    Ok, but I need to find the roots to this problem with help of pen and paper, no calculator or mathematica etc.
    Just solve |4-x^2|=x for real x.
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