Can You Find the Roots of a Complex Equation?

[Physicsissuef]

Homework Statement

$$y^6+1=0$$

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

Homework Equations

none.

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]<br /> <br /> How will I find other 5 roots?[/tex]

 

[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...

 

[cristo]

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