Question

plzzz solve this . it is very urgent​

Answer 1

(a+1/a)^2=a^2+1/a^2+2

a^2+1/a^2 =(a+1/a)^2 -2 .....(i)

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

or (a-1/a)^2=(a+1/a)^2-4 (from(i))

x+1/x=5/2

(x-1/x)^2 =(x+1/x)^2-4

(x-1/x)^2=(5/2)^2 -4

(x-1/x)^2=25/4 -4

(x-1/x)^2=(25-16)/4 =9/4

x-1/x =√9/√4 =3/2 ans