Let α and β be the roots of the equation x² + (2i - 1) = 0. Then, the value of | α ⁸ + β ⁸| is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jun, Morning shift · Q3158

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

Let

\alpha

and

\beta

be the roots of the equation x² + (2i

-

1) = 0. Then, the value of |

\alpha

⁸ +

\beta

⁸| is equal to :

JEE Main 2022 · 29 Jun, Morning shift · Q3158

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

Let

\alpha

and

\beta

be the roots of the equation x² + (2i

-

1) = 0. Then, the value of |

\alpha

⁸ +

\beta

⁸| is equal to :