If `1,alpha,alpha^2,alpha^3,......,alpha^(n-1)`are `n` `n^(th)` roots of unity, then find the v...

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If 1,α,α^2,α^3⋯⋯α^n 1 be the nth root of unity, then 1^P+α^P+(α^2 )^P+(α^3 )^p+⋯⋅(α^(n-1) )^P= If 1,α,α^2,α^3⋯⋯α^n 1 be the nth root of unity, then 1^P+α^P+(α^2 )^P+(α^3 )^p+⋯⋅(α^(n-1) )^P=
If 1,alpha,alpha^(2),……….,alpha^(n-1) are n^(th) root of unity, the value of (3-alpha)(3-alpha^(... If 1,alpha,alpha^(2),……….,alpha^(n-1) are n^(th) root of unity, the value of (3-alpha)(3-alpha^(...
If \( \alpha \) is the \( n^{\text {th }} \) root of unity, then \( 1+2 \alpha+3 \alpha^{2}+\ldo... If \( \alpha \) is the \( n^{\text {th }} \) root of unity, then \( 1+2 \alpha+3 \alpha^{2}+\ldo...
If `1, alpha,alpha^2,.......alpha^(n-1)` are n, `n^(th)` roots ofunity, then `1 + 2alpha+ 3al... If `1, alpha,alpha^2,.......alpha^(n-1)` are n, `n^(th)` roots ofunity, then `1 + 2alpha+ 3al...
If `1,alpha_1, alpha_2, …alpha_(n-1)` be n, nth roots of unity show that `(1-alpha_1)(1-alpha_2). If `1,alpha_1, alpha_2, …alpha_(n-1)` be n, nth roots of unity show that `(1-alpha_1)(1-alpha_2).
If `1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1)` are n, nth roots of unity, then `(1-alpha_(1)) If `1,alpha_(1),alpha_(2),alpha_(3),...,alpha_(n-1)` are n, nth roots of unity, then `(1-alpha_(1))
2.a) If α= 1/2 (–1+ √–3) and β= 1/2 (–1– √–3), show that α⁴ + α²β² + β⁴ = 0 Cube root of Unity. NEB 2.a) If α= 1/2 (–1+ √–3) and β= 1/2 (–1– √–3), show that α⁴ + α²β² + β⁴ = 0 Cube root of Unity. NEB
The nth Roots of Unity The nth Roots of Unity