if-13-1-and-1-find-the-quadratic-equation-whose-roots-are-3-4-4-3-1-and-2-5-6-6-5-6-

Question Number 90947 by Cynosure last updated on 27/Apr/20

i f α^{13} = 1 a n d α \neq 1, f i n d t h e q u a d r a t i c e q u a t i o n

w h o s e r o o t s a r e (α + α^{3} + α^{4} + α^{- 4} + α^{- 3} + α^{- 1}) a n d (α^{2} + α^{5} + α^{6} + α^{- 6} + α^{- 5} + α^{- 6})