Question Number 100943 by Ar Brandon last updated on 29/Jun/20

Determine the poles of the function;  f(x)=((x^5 −1)/(x^3 −1))

Answered by mathmax by abdo last updated on 29/Jun/20

the poles are z  with verify z^3 −1 =0  and z≠1  z^3  =1 ⇔z^3  =e^(i(2kπ))  ⇒z_k =e^(i((2kπ)/3))    and k ∈{1,2} ⇒the poles are   z_1 =e^((i2π)/3)  and z_2 =e^((i4π)/3)

Commented byAr Brandon last updated on 29/Jun/20

Thanks. I didn't understand the question.