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

Complex Numbers and Quadratic Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jun, Evening shift · Q5048

JEE Main 202229 Jun, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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 :