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JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

If is a nonreal root of then , where is an odd positive integer, has the value

Answer: (C)

Solution

. Then

α^{10n+2} + α^{5n+2} + α^{5n} = (α^α^2 + (α^α^2 + (α^ = α^2 +

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Question ID VK-110038