If be the roots of then the number of equation(s) whose roots are and is |
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a) |
1 |
b) |
2 |
c) |
3 |
d) |
6 |
If be the roots of then the number of equation(s) whose roots are and is |
|||||||
a) |
1 |
b) |
2 |
c) |
3 |
d) |
6 |
(a)
We have,
, where is a complex cube root of unity
Let and Then,
The equation whose roots are and is
For other combinations of and we obtain the same equation. Hence, there is only one equation