Question Number 144084 by Rankut last updated on 21/Jun/21
$${if}\:\:{a}+\frac{\mathrm{1}}{{a}}=−\mathrm{1} \\ $$$$\:{a}^{\mathrm{1234567891011}} +\frac{\mathrm{1}}{{a}^{\mathrm{1110987654321}} }=?? \\ $$$$ \\ $$
Answered by MJS_new last updated on 21/Jun/21
$${a}=\omega\vee{a}=\omega^{\mathrm{2}} \\ $$$$\omega^{\mathrm{3}{n}} =\mathrm{1}\wedge\left({w}^{\mathrm{2}} \right)^{\mathrm{3}{n}} =\mathrm{1}\:\Rightarrow\:\mathrm{answer}\:\mathrm{is}\:\mathrm{2} \\ $$