Which one of the following is correct in respect of the cube roots of unity? - Sarthaks eConnect | Largest Online Education Community
If α and β are the complex cube roots of unity, show that (i) α^2 + β^2 + αβ = 0 (ii) α^4 + β^4 + α^-1 β^-1 = 0 - Sarthaks eConnect | Largest Online Education Community
![If omega is the cube root of unity, then what is one root of the equation |{:(x^(2),-2x,-2omega^(2)),(2,omega,-omega),(0,omega,1):}|=0 ? If omega is the cube root of unity, then what is one root of the equation |{:(x^(2),-2x,-2omega^(2)),(2,omega,-omega),(0,omega,1):}|=0 ?](https://d10lpgp6xz60nq.cloudfront.net/web-thumb/59995235_web.png)
If omega is the cube root of unity, then what is one root of the equation |{:(x^(2),-2x,-2omega^(2)),(2,omega,-omega),(0,omega,1):}|=0 ?
![If w is an imaginary cube root of unity then find the value of (1+w) (1+w^2) (1+w^3) (1+w^4) (1+w^5) - Maths - - 14695047 | Meritnation.com If w is an imaginary cube root of unity then find the value of (1+w) (1+w^2) (1+w^3) (1+w^4) (1+w^5) - Maths - - 14695047 | Meritnation.com](https://s3mn.mnimgs.com/img/shared/ugc/ana/image/2020/06/1591429359_cex.jpg)
If w is an imaginary cube root of unity then find the value of (1+w) (1+w^2) (1+w^3) (1+w^4) (1+w^5) - Maths - - 14695047 | Meritnation.com
![W is the imaginary cube root of unity then find the solution of the expression 2(1+w)(1+w^2)+ - Brainly.in W is the imaginary cube root of unity then find the solution of the expression 2(1+w)(1+w^2)+ - Brainly.in](https://hi-static.z-dn.net/files/df7/a52fa7626c83d7cbd39265434f0b67f6.jpg)
W is the imaginary cube root of unity then find the solution of the expression 2(1+w)(1+w^2)+ - Brainly.in
![The common roots of the equation z^3 + (1 + i)z^2 + (1 + i)z + i = 0 , (where i = √(-1)) and z^1993 + z^1994 + 1 = 0 are (where ω denotes the complex cube root of unity) The common roots of the equation z^3 + (1 + i)z^2 + (1 + i)z + i = 0 , (where i = √(-1)) and z^1993 + z^1994 + 1 = 0 are (where ω denotes the complex cube root of unity)](https://toppr-doubts-media.s3.amazonaws.com/images/6358108/f45ef88e-4d49-4850-a669-c060edf2e77f.jpg)