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If x+1/x=4, find the values of x^2+1/(x...

If `x+1/x=4,` find the values of `x^2+1/(x^2)`

Text Solution

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Given:
`=> x+ 1/x=4`
Squaring both side, we get
`=> (x+ 1/x)^2=(4)^2`
`=> x^2+(1/x)^2+2xxx1/x=16`
`=> x^2+(1/x)^2+2=16`
`=> x^2+(1/x)^2=16-2`
`=> x^2+1/x^2=14`
...
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