SOLUTION: If 1 and w are two of the five roots of w^(5)=1, then show the following: i.w^(2),w^(3), and w^(4) are the remaining roots of w^(5)=1. ii. 1+w+w^(2)+w^(3)+w^(4)=0. iii. w^(5n)=1 f

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: If 1 and w are two of the five roots of w^(5)=1, then show the following: i.w^(2),w^(3), and w^(4) are the remaining roots of w^(5)=1. ii. 1+w+w^(2)+w^(3)+w^(4)=0. iii. w^(5n)=1 f      Log On


   

Question 1118051: If 1 and w are two of the five roots of w^(5)=1, then show the following:
i.w^(2),w^(3), and w^(4) are the remaining roots of w^(5)=1. ii. 1+w+w^(2)+w^(3)+w^(4)=0. iii. w^(5n)=1 for any integer n
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