If the cube roots of unity are 1, ω, ω 2 , then the roots of the equation (x – 1) 3 + 8 =…

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

If the cube roots of unity are 1, ω, ω2, then the roots of the equation (x – 1)3 + 8 = 0, are:
  1. – 1, 1 + 2ω, 1 + 2ω2
  2. –1, 1 – 2ω, 1 – 2ω2
  3. –1, –1, –1
  4. –1, –1 + 2ω, –1 – 2ω2

Answer

(B) –1, 1 – 2 ω , 1 – 2 ω 2

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