Question

If x+1/x/x-1/x=2 then find x²+1/x²​

Answer 1

Answer:10/9

Step-by-step explanation:

x+1/x/x-1/x=2

⇒(x+1/x)(x/x-1)=2

⇒(x+1)/(x-1)=2

⇒x+1=2x-2

⇒2x-x=1+2

⇒x=3

∴x=3

x²+1/x²

⇒3²+1/3²

⇒10/9