filmov
tv
Root of z^5=1
Показать описание
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.