
Complex Analysis Complex Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
August 18th, 2017, 08:43 AM  #1 
Newbie Joined: Aug 2017 From: Milan Posts: 3 Thanks: 0  Best way to solve this complex equation
Hello everybody, which is the best way to solve (z*  1/z)(z^2+8z*)=0 ? (z* is z conjugate) thank you 
August 18th, 2017, 09:28 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 1,942 Thanks: 1009 
if the product equals zero then one or more of the factors must equal zero. Solve that for both factors. For example $z^*  \dfrac 1 z = 0$ $z^* = \dfrac 1 z = \dfrac {z^*}{z^2}$ so $z^2=1$ and thus this is satisfied for any point on the unit circle. You try the second factor. 
August 30th, 2017, 06:01 PM  #3 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,364 Thanks: 100  
September 2nd, 2017, 07:49 AM  #4 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,364 Thanks: 100  

Tags 
complex, equation, solve 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Need help, how to solve complex equation.  wortel  Linear Algebra  2  November 30th, 2015 08:51 PM 
solve equation in complex plane  wortel  Math  2  November 17th, 2015 02:26 PM 
solve complex equation  farewell  Algebra  5  September 27th, 2014 12:46 PM 
solve complex equation  rayman  Complex Analysis  5  October 27th, 2013 10:17 PM 
How to solve a complex equation?  watanuki  Complex Analysis  1  October 24th, 2009 07:37 PM 