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If alpha is a root of z^(2) - z +1 = 0, ...

If `alpha` is a root of `z^(2) - z +1 = 0,` then
`(alpha^(2014)+ (1)/(alpha^(2014)))+ (alpha^(2015+(1)/(alpha^(2015))))^(2)`
`+(alpha^(2016)+(1)/(alpha^2016))^(3)+ (alpha^(2017)+ (1)/(alpha^(2017)))^(4)+`
`(alpha^(2018)+(1)/(alpha^(2018)))^(5)=`

A

8

B

5

C

3

D

-5

Text Solution

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The correct Answer is:
A
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