One of the complex roots of the equation x¹¹-x^6-x^5+1=0 is

Step-by-step solution

aligned & x¹¹-x^6-x^5+1=0 & (x^6-1 ) (x^5-1 )=0 & x^6=1 or x^5=1 & x=(1)^ 1 6 or x=(1)^ 1 5 & x= 2 k 6 +i 2 k 6 or x= 2 r 5 +i 2 r 5 & aligned where, aligned k & =0,1,2,3,4,5 where r=0,1,2,3,4 x & = k 3 +i k 3 aligned When k=1 , 3 +i / 3=C is 3 .