Question

if x4+1/x4=322,then x=1/x is equal to :​

Answer 1

Answer:

x^4+1/x^4=322

(x^2)^2+1/(x^2)^2=322

=(x^2)^2+2.x^2.1/x^2+1/(x^2)^2=322+2

=(x^2+1/x^2)^2=324

=(x^2+1/x^2)=18

=x^2+2.x.1/x^2+1/x^2=20

=x+1/x=2√5