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May 18th, 2018, 07:43 AM  #1 
Newbie Joined: May 2018 From: israel Posts: 3 Thanks: 0  help with complex numbers
Hello, I would be happy to help with complex numbers: Find equation solutions: https://ibb.co/ceJ06J Thanks 
May 19th, 2018, 12:37 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,264 Thanks: 1198 
$z^3 + 3i \bar{z} = 0$ first off it should be clear that $z=0$ is a solution Now assume $z\neq 0$ rewrite the equation as $r^3 e^{i3x}+3e^{i\pi/2}re^{x}=0$ I leave it to you to show that $r=\sqrt{3}$ Given that, you can remove $r$ from the equation and solve for all of the $x$ I leave it to you to show that they are $x \in \{5,~7,~9,~13,~15\} \cdot \dfrac \pi 8$ 
May 21st, 2018, 08:07 AM  #3 
Newbie Joined: May 2018 From: israel Posts: 3 Thanks: 0 
Should not I first find the r and the angle?


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