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Question

If z is a non - real root of 71, then z86+z175+z289 is equal to:


A

0

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B

-1

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C

3

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D

1

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Solution

The correct option is B

-1


z = 71 z7 = -1

z86+z175+z289=(z7)12z2+(z7)25+(z7)41z2

= (1)12z2+(1)25+(1)41z2

= z21z2 = -1.


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