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Let z be a complex number such that 

z^5 + z^4 + 2z^3 + z^2 + z = 0

Find all possible values of z

 Dec 4, 2021
 #1
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The roots are 0, i, and -i.

 Dec 4, 2021
 #2
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can you explain how you got to this answer?

Guest Dec 4, 2021

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