1 votes 1 votes The sum of $99^{th}$ power of all the roots of $x^7-1=0$ is equal to $1$ $2$ $-1$ $0$ Quantitative Aptitude isi2018-dcg quantitative-aptitude polynomials roots + – gatecse asked Sep 18, 2019 • recategorized Nov 19, 2019 by Lakshman Bhaiya gatecse 408 views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply `JEET commented Nov 20, 2019 reply Follow Share $-1$? 0 votes 0 votes SatyamK commented Apr 2, 2020 reply Follow Share Roots are $1, e^{\pi/7},e^{2\pi/7},e^{3\pi/7},e^{4\pi/7},e^{5\pi/7}, e^{6\pi/7}$ . Sum of all 7 roots is 0.If we take any power of roots, then also the sum of roots will be 0. Answer:D 0 votes 0 votes Please log in or register to add a comment.