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If x-1/x=-1, find the value of x^2+1/(x^...

If `x-1/x=-1,` find the value of `x^2+1/(x^2)`

Text Solution

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Let '`1/x=y'`
Using the formulae,'`(a−b)^2=a^2+b^2−2ab`'
⇒`'a^2+b^2(a−b)^2+2ab`
∴`x^2+y^​2=(x−y​)2+2xy`
`(x−y)^2−2
(−1)^2+2
=3'`.
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