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

Find the cube roots of unity.

Find the roots of the equation x+(1)/(x)=3, x ne 0

If omegane1 is a cube root of unity, show that the roots of the equation (z-1)^(3)+8=0 are -1,1-2omega,1-2omega^(2) .

The root of the polynomial equation 3x -1 = 0 is

If the roots of the equation x^(2)+px+c=0 are 2,-2 and the roots of the equation x^(2)+bx+q=0 are -1,-2, then the roots of the equation x^(2)+bx+c=0 are

If omega is a cube root of unity and (omega-1)^7=A+Bomega then find the values of A and B

If the roots of the equation x^3+P x^2+Q x-19=0 are each one more that the roots of the equation x^3-A x^2+B x-C=0,w h e r eA ,B ,C ,P ,a n dQ are constants, then find the value of A+B+Cdot

For what real values of a do the roots of the equation x^2-2x-(a^2-1)=0 lie between the roots of the equation x^2-2(a+1)x+a(a-1)=0.