Let be a root of the equation 1 + x^ 2 + x^ 4 = 0. Then the value of ^ 1011 + ^ 2022 - ^ 3033 is equal to

JEE Main 2022 Mathematics question

Let be a root of the equation . Then the value of is equal to

Answer: (1)

, so every root satisfies and hence . The exponents , and $3033 = 3 ×

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Question ID VK-035226