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Find the roots for Y^6+1

1. Homework Statement

[tex]y^6+1=0[/tex]

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

2. Homework Equations

none.


3. The Attempt at a Solution

[tex]y^6+1=0[/tex]

[tex](zi)^6+1=0[/tex]

[tex]z^6-1=0[/tex]

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

How will I find other 5 roots?
 

Answers and Replies

dynamicsolo
Homework Helper
1,648
4
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
Staff Emeritus
Science Advisor
8,056
72
Write in polar form and use De Moivre's theorem.
 

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