Question

x^2+1/x^2=38, then
the value of x-1/x is

Answer 1

(x-1/x)2 = x2-2.x.1/x+(1/x)2

(x-1/x)2 = x2-2+1/x2

(x-1/x)2 = x2+1/x2-2

(x-1/x)2 = 38-2

(x-1/x)2 = 36

(x-1/x)2 = (62)

(x-1/x) =6