
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
May 18th, 2018, 06:43 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, 11:37 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,404 Thanks: 1306 
$z^3 + 3i \bar{z} = 0$ 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, 07:07 AM  #3 
Newbie Joined: May 2018 From: israel Posts: 3 Thanks: 0 
Should not I first find the r and the angle?


Tags 
complex, numbers 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
sets of numbers (complex numbers)  jeho  Elementary Math  2  October 23rd, 2016 08:55 PM 
Can complex numbers (and properties of complex numbers) be..  jonas  Complex Analysis  2  October 13th, 2014 03:03 PM 
Complex numbers!  Ter  Number Theory  8  November 21st, 2012 06:42 AM 
Complex complex numbers  Tutu  Algebra  11  June 26th, 2012 01:36 PM 
Complex numbers;  Miran977  Complex Analysis  0  December 31st, 1969 04:00 PM 