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Root of z^5=1
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Another way of applying the nth root formula.
The nth root of a complex number:
[r(cosθ+i sinθ)]^(1/n)=r^(1/n) (cos(θ+2kπ)/n+i sin(θ+2kπ)/n), where k=0,1,2,…,n-1.
Solve for z^5=1.
The nth root of z^5=1.
The nth root of z^5-1=0.
The nth root of a complex number:
[r(cosθ+i sinθ)]^(1/n)=r^(1/n) (cos(θ+2kπ)/n+i sin(θ+2kπ)/n), where k=0,1,2,…,n-1.
Solve for z^5=1.
The nth root of z^5=1.
The nth root of z^5-1=0.