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The common roots of the equations z^3+2z...

The common roots of the equations `z^3+2z^2+2z+1=0` and `z^1985+z^100+1=0` are

A

`-1,omega^2`

B

`-1,omega`

C

`omega,omega^2`

D

None of these

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The correct Answer is:
C
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