If the cube roots of unity are 1,omega,o...

If the cube roots of unity are `1,omega,omega^(2)` then the roots of the equation `(x-1)^(3)+8=0` are

`-1,-1+2omega,-1-2omega^(2)`

`-1,-1,-1`

`-1,1-2omega,1-2omega^(2)`

`-1,1+2omega,1+2omega^(2)`

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DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1

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If alpha, beta are the non-real cube roots of 2, then alpha^(6)+beta^...
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If alpha is a non real root of the equation x^(6)-1=0 then (alpha^(2)+...
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If 1,alpha1,alpha2,…..alpha(n-1) are the n^(th) roots of unity then (1...
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If 1,alpha1,alpha2,…..alpha(n-1) are the n^(th) roots of unity and n i...
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1,alpha1,alpha2,alpha3…..alpha(n-1) are the n^(th) roots of unity and ...
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If 1,z1z2,……z(n-1) are the n^th roots of unity, then (1-z1)(1-z2)…..(1...
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If alpha is an n^(th) root of unity then prove that 1+2alpha+3alpha^2+...
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If 1,alpha,alpha^2,…...,alpha^(n-1) are the n^(th) roots of unity, the...
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Statement-I : If xn=cos(pi//2^n)+isin (pi//2^n) then x1.x2.x3…..=-...
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If X(n)="cos"(pi)/(2^(n))+"isin"(pi)/(2^(n)), then x(1), x(2), x(3)......
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If x(n)=cos((pi)/(4^(n)))+i sin ((pi)/(4^(n))), then x(1), x(2), x(3)....
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sum(k=1)^6[sin((2kpi)/(7))-icos((2kpi)/(7))]=
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If z(k)=cos((kpi)/(10))+isin((kpi)/(10)), then z(1)z(2)z(3)z(4) is equ...
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The cube roots of 1+I are
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The values of (1-sqrt3i)^(1//3) are
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Find all the values of (sqrt3 + i) ^(1/4) .
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