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Complex Numbers and Quadratic Equations: JEE Mains 2022 June 29 Shift 2

Medium· Roots of unity· +4 / −1

Let

\alpha

be a root of the equation

1+x^2+x^4=0

. Then the value of

\alpha^{1011}+\alpha^{2022}-\alpha^{3033}

is equal to :

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