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If alpha=cos((2pi)/7)+i sin((2pi)/7) the...

If `alpha=cos((2pi)/7)+i sin((2pi)/7)` then a quadratic equation whose roots are `(alpha+ alpha^(2)+ alpha^(4))` and `(alpha^(3)+ alpha^(5)+alpha^(6))`

A

`x^2 - x +2 =0`

B

`x^2 + x -2 =0`

C

`x^2 - x -2 =0`

D

`x^2 + x +2 =0`

Text Solution

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The correct Answer is:
D
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