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June 14,2006 page compiled on July 2, 2015 at 1:28am

To ﬁnd the roots of

Solving for from

Now is evaluated. Since

Substituting (2) in the RHS of (1) gives

Using De Moivre's formula

Therefore (3) is rewritten as

The above gives the roots of . The following examples illustrate the use of the above.

- 1.
- Solve . Here , therefore . For
And for

Hence the two roots are

- 2.
- Solve . Here , hence for
And for

And for

Therefore the roots are