complex number calculations

Hi I am doing some work in my university. I need some help with the problem given on the following website:

Please could you tell me how I could program such a problem using Delphi (pascal language) or give me some clues as to how I could go about the task.

Thank You
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I am not very good in Math but I would make something like this:

procedure TForm1.Button1Click(Sender: TObject);
  j : Double;
  j := -1;
  while True do
    j:= j + 0.00001;
    if ((1 - j) / 2) = 0.5 - (0.5 * j) then
      // You have found the value of J


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