If `x-1/x=3, ` find the values of `x^2+1/(x^2)a n d\ x^4+1/(x^4)dot`

Explanation

Given:

`=> (x-1/x)^2=(3)^2`

`=> (x^2+(1/x)^2-2xx(x)xx(1/x)=(3)^2`

`=> x^2+1/x^2-2=(3)^2`

`=> x^2+1/x^2=9+2`

`=> x^2+1/x^2=11`


(ii) `=>(x^2+1/x^2)^2=11`

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