1.

If a,b, g, d are the roots of the equation x4 + x3 + x2 + x +1 = 0, then a2021 + b2021 + g2021 + d2021 is equal to:(A) –4(B) –1(C) 1(D) 4

Answer»

Correct option is (B) –1

α, β, γ, δ root of the equation 

x4 + x3 + x2 + x + 1 = 0 

Which are 5th roots of unity except 1.

then a2021 + b2021 + g2021 + d2021 = α + β + γ + δ = -1



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