Let … be a root of the equation 1 + x² + x⁴ = 0. Then, the value of …¹⁰¹¹ + …²⁰²² … …³⁰³³ is equal to :

Option A. Given, … is a root of the equation 1 + x² + x⁴ = 0

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Quadratic Equation and Inequalities

JEE Main 2022 · 29 Jun, Evening shift · Q5048

MathematicsMedium129×since 2002Q5048

Let

\alpha

be a root of the equation 1 + x² + x⁴ = 0. Then, the value of

\alpha

¹⁰¹¹ +

\alpha

²⁰²²

-

\alpha

³⁰³³ is equal to :