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Old 08-08-2007   #1
suganya
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Default Quadratic Equation

Hi,

How to find the 4th roots of unity?

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Suganya
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Old 08-08-2007   #2
Sillysidley

 
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We know that there are n nth roots of unity; in this case, n=4, so we can just find 4 roots of unity and we're done.
Not that connecting evenly spaced roots of unity on a unit circle forms a polygon with n sides. In the case of n=4, its like a square turned to look like a diamond (rhombus). Its pretty easy to find that the 4th roots of unity are 1, -1, i, and -i. Atleast I think...
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Last edited by Sillysidley; 08-08-2007 at 07:59 PM..
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