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If (sqrt3 + i)^(100) = 2^(99) (p + iq) ,...

If `(sqrt3 + i)^(100) = 2^(99) (p + iq)` , then p and q are roots of the equation:

A

`x^2-(sqrt3-1)x-sqrt3=0`

B

`x^2+(sqrt3+1)x+sqrt3=0`

C

`x^2-(sqrt3+1)x+sqrt3=0`

D

`x^2+(sqrt3-1)x-sqrt3=0`

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