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October 23rd, 2016, 06:22 AM  #1 
Member Joined: Oct 2016 From: Slovenia, Europe Posts: 46 Thanks: 5  I am struggling with a complex equation Hey guys, i have a problem with solving this equation: z^21=z^2 4 and arg(z+2i)= pi/4 I would be very grateful if anyone helps me 
October 23rd, 2016, 01:17 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,213 Thanks: 491 
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. 

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