Question

X+1/x=5 then find the value of x-1/x

Answer 1

x+1/x=5

(x+1/x)^2=(5)^2

x^2+2+1/x^2=25

x^2+1/x^2=23

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

(x-1/x)^2=23-2

(x-1/x)^2=21

x-1/x=root 21