Question

Can anyone solve this fast?

Answer 1

Answer:

x^2+1/x^2=38

a) (x-1/x)^2+2.x.1/x=38

=> (x-1/x)^2=38-2

=> (x-1/x)^2=36

=> x-1/x=√36=+6,-6

b)x^4+1/x^4

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

=(38)^2-2

=1444-2

=1442