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 October 26th, 2016, 10:39 AM #1 Member   Joined: Sep 2016 From: zambia Posts: 31 Thanks: 0 Complex numbers Given that z+1/z=k,where k is real number. Prove that either z is real or |z|=1
 October 26th, 2016, 10:42 AM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,404 Thanks: 1306 you need to start showing your work on these questions. Thanks from topsquark
October 26th, 2016, 12:12 PM   #3
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Quote:
 Originally Posted by jeho Given that z+1/z=k,where k is real number. Prove that either z is real or |z|=1
Start with z = a + ib. What does that give you when you rationalize the second term?

-Dan

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