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October 23rd, 2016, 06:22 AM   #1
Joined: Oct 2016
From: Slovenia, Europe

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Question I am struggling with a complex equation

Hey guys, i have a problem with solving this equation:
|z^2-1|=|z|^2 -4 and arg(z+2i)= pi/4
I would be very grateful if anyone helps me
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October 23rd, 2016, 01:17 PM   #2
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From $\displaystyle arg(z+2i)=\pi /4$, z=(a+2)+ai (a real), with a+2>0.

Substitute into the other equation and solve for a.
Thanks from topsquark and srecko
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