if α^(13) =1 and α≠1,find the quadratic equation whose roots are (α+α^3 +α^4 +α^(−4) +α^(−3) +α^(−1) ) and (α^2 +α^5 +α^6 +α^(−6) +α^(−5) +α^(−6) )


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

$i f α^{13} = 1 a n d α \neq 1, f i n d t h e q u a d r a t i c e q u a t i o n$ $w h o s e r o o t s a r e (α + α^{3} + α^{4} + α^{- 4} + α^{- 3} + α^{- 1}) a n d (α^{2} + α^{5} + α^{6} + α^{- 6} + α^{- 5} + α^{- 6})$
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