Find the roots for Y^6+1

1. Mar 17, 2008

Physicsissuef

1. The problem statement, all variables and given/known data

$$y^6+1=0$$

Find the roots of this equation. (They are complex numbers)

2. Relevant equations

none.

3. The attempt at a solution

$$y^6+1=0$$

$$(zi)^6+1=0$$

$$z^6-1=0$$

[tex]y_1=z_1i=1i=i[/itex]

How will I find other 5 roots?

2. Mar 17, 2008

dynamicsolo

You would use DeMoivre's Theorem for roots, applying it to the six complex roots of -1. BTW, you should be able to find a second one right off...

3. Mar 17, 2008

cristo

Staff Emeritus
Write in polar form and use De Moivre's theorem.

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