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If x^2+1/(x^2)=27 , find the values of e...

If `x^2+1/(x^2)=27 ,` find the values of each of the: `x-1/x`

Text Solution

Verified by Experts

Given:
`=> x-1/x`
Squaring both side, we get
`=> (x-1/x)^2= x^2+(1/x)^2-2xxx1/x`
`=> (x-1/x)^2= x^2+(1/x)^2-2xxx1/x`
`=>(x-1/x)^2= x^2+(1/x)^2-2`
`=> (x-1/x)^2= x^2+(1/x)^2-2`
`=> (x-1/x)^2= x^2+1/x^2-2`
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