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

Tinku Tara June 4, 2023 Others 0 Comments

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

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) )

$${if}\:\alpha^{\mathrm{13}} =\mathrm{1}\:{and}\:\alpha\neq\mathrm{1},{find}\:{the}\:{quadratic}\:\:{equation} \\ $$$${whose}\:{roots}\:{are}\:\left(\alpha+\alpha^{\mathrm{3}} +\alpha^{\mathrm{4}} +\alpha^{−\mathrm{4}} +\alpha^{−\mathrm{3}} +\alpha^{−\mathrm{1}} \right)\:{and}\:\left(\alpha^{\mathrm{2}} +\alpha^{\mathrm{5}} +\alpha^{\mathrm{6}} +\alpha^{−\mathrm{6}} +\alpha^{−\mathrm{5}} +\alpha^{−\mathrm{6}} \right) \\ $$

Facebook Tweet Pin

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

Leave a Reply Cancel reply