If α, β, γ, δ are the roots of the equation x 4+ x 3+ x 2+ x +1=0, then α2021+β2021+γ2021+δ2021 is equal to .

Question

If α, β, &gamma;, δ are the roots of the equation x 4+ x 3+ x 2+ x +1=0, then α2021+β2021+&gamma;2021+δ2021 is equal to . (A) -4 (B) -1 (C) 1 (D) 4

Tardigrade Admin · Accepted Answer

α, β, &gamma;, δ root of the equation x4+x3+x2+x+1=0 Which are 5 text th roots of unity except 1 . then α2021+β2021+&gamma;2021+δ2021= α+β+&gamma;+δ=-1

Q. If $α, β, γ, δ$ are the roots of the equation $x^{4} + x^{3} + x^{2} + x + 1 = 0$ , then $α^{2021} + β^{2021} + γ^{2021} + δ^{2021}$ is equal to .

$- 4$

$- 1$

1

4

$α, β, γ, δ$ root of the equation
$x^{4} + x^{3} + x^{2} + x + 1 = 0$
Which are $5^{th}$ roots of unity except 1 . then $α^{2021} + β^{2021} + γ^{2021} + δ^{2021} =$ $α + β + γ + δ = - 1$

Q. If α,β,γ,δ are the roots of the equation x4+x3+x2+x+1=0, then α2021+β2021+γ2021+δ2021 is equal to .

−4

−1

1

4

α,β,γ,δ root of the equation x4+x3+x2+x+1=0 Which are 5th roots of unity except 1 . then α2021+β2021+γ2021+δ2021= α+β+γ+δ=−1

Q. If $α, β, γ, δ$ are the roots of the equation $x^{4} + x^{3} + x^{2} + x + 1 = 0$ , then $α^{2021} + β^{2021} + γ^{2021} + δ^{2021}$ is equal to .

$- 4$

$- 1$

$α, β, γ, δ$ root of the equation
$x^{4} + x^{3} + x^{2} + x + 1 = 0$
Which are $5^{th}$ roots of unity except 1 . then $α^{2021} + β^{2021} + γ^{2021} + δ^{2021} =$ $α + β + γ + δ = - 1$