If the cube roots of unity are 1, w, w2, then the roots of the equation (x – 1)3 + 8 = 0 are

1) – 1, 1 + 2w, 1 + 2w2

2) – 1, 1 – 2w, 1 – 2w2

3) – 1, – 1, – 1

4) None of these  

9. Prove that if w is an nth root of unity, then is also an nth root of unity. (Recall: The nth roots of unity are the nth roots of 1.) (4 marks]

Let α andβ are the roots of the equation pχ2 + qχ + r = 0, p ≠ 0. If p, q and r are in AP and

Which system of equations can be used to find the roots of the equation ?

A. and  

B. and  

C. and  

D. and