MathDB
Complex Number

Source: 1993 National High School Mathematics League, Exam One, Problem 9

February 27, 2020
complex numbers

Problem Statement

If z∈C,arg⁡(z2−4)=56π,arg⁡(z2+4)=π3z\in\mathbb{C},\arg{(z^2-4)}=\frac{5}{6}\pi,\arg{(z^2+4)}=\frac{\pi}{3}, then the value of zz is________.
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