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Common roots of the equations z^(3) +2z^...

Common roots of the equations `z^(3) +2z^(2) + 2z+1= 0 and z^(1985) + z^(100) +1= 0` are

A

`omega, omega^(2)`

B

`1, omega, omega^(2)`

C

`-1, omega, omega^(2)`

D

`-omega, -omega^(2)`

Text Solution

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The correct Answer is:
A
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