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Let alpha be a root of the equation 1+ x...

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:

A

1

B

`alpha`

C

`1+ alpha`

D

`1+ 2 alpha`

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Knowledge Check

  • Let alpha, and beta are the roots of the equation x^(2)+x +1 =0 then

    A
    `alpha^(2) +beta^(2) =4`
    B
    `(alpha - beta)^(2)=3`
    C
    `alpha^(3) +beta^(3)=2`
    D
    `alpha^(4) +beta^(4) = 1`

  • If alpha and beta are the roots of the equation x^(2) - 4x + 1 = 0 , then the value of alpha^(3) + beta^(3) is

    A
    76
    B
    52
    C
    -52
    D
    -76

  • If alpha and beta the roots of the equation x^(2) - 2x + 4 = 0 , then what is the value of alpha^(3) + beta^(3)

    A
    16
    B
    `-16`
    C
    8
    D
    -8

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