Question

if {x+(1/x)}=-2 then {(x^2017)+(1/x^2017)}=?​

Answer 1

x+1/x=-2

using hit and trial we get

x=-1

Therefore, x^2017+1/x^2017=

(-1)^2017+1/(-1)^2017=-1-1=-2.

I hope you got it