If are the cube roots of unity

MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra

Problem

If 1,ω,ω21, \omega, \omega^2 are the cube roots of unity, then the roots of the equation (x−1)3+8=0(x - 1)^3 + 8 = 0 are (1) −1,1+2ω,1+2ω2-1, 1 + 2\omega, 1 + 2\omega^2 (2) −1,1−2ω,1−2ω2-1, 1 - 2\omega, 1 - 2\omega^2 (3) −1,−1,−1-1, -1, -1 (4) None of these

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