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October 26th, 2016, 10:39 AM   #1
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Complex numbers

Given that z+1/z=k,where k is real number.
Prove that either z is real or |z|=1
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October 26th, 2016, 10:42 AM   #2
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you need to start showing your work on these questions.
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October 26th, 2016, 12:12 PM   #3
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Quote:
Originally Posted by jeho View Post
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?

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