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Again Locus with complex nos

  1. Sep 19, 2010 #1
    1. The problem statement, all variables and given/known data
    Find the locus of [tex]Re[z^2]>1[/tex]

    2. Relevant equations

    3. The attempt at a solution
    Subbing in [tex]z=x+iy[/tex] gives [tex]x^2-y^2>1[/tex], but where do I go from there on. It shouldn't be very tough (i.e. including analysis of functions) because the other examples in the same problem are easy.
  2. jcsd
  3. Sep 19, 2010 #2


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    Homework Helper

    Well can you graph [tex]x^2-y^2=1[/tex]? It should be clear where it is more than 1 either by intuition or testing some easy points such as (0,0) versus (2,0).
    It is the graph of a hyperbola by the way.
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