poptarts12345
Member
- Joined
- Sep 22, 2019
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- HSC
- 2021
1. Let w be a seventh root of unity. Find the equation of the quadratic polynomial with roots w+w^2+w^4 and w^3+w^5+w^6.
ANS : x^2+x+2
2. Let w be the principal nth root of unity.
Prove that w conjugate = w^(n-1)
ANS : x^2+x+2
2. Let w be the principal nth root of unity.
Prove that w conjugate = w^(n-1)