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## Homework Statement

*Do not use a calculator for this problem. Express your answers using square roots and/or fractional multiples of x.*

Determine the complex constant

*c*such that

*v*is a root of: z

^{6}- c = 0

## Homework Equations

v = [itex]\sqrt{3} - j[/itex]

## The Attempt at a Solution

I believe the following are true:

1. There are 3 distinct roots for this equation.

2. Each of the distinct roots will have a conjugate pair to ensure there is no middle term.

3. If 2 is true, then two of the six roots are [itex]\sqrt{3} -j[/itex] and [itex]\sqrt{3} +j[/itex]

z

^{6}- c = 0 --> z

^{6}= c. Yes, this is as far as I have gotten. I'm not sure how to figure out the other 4 roots.