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Question

If x4+1x4= 119, find the value of x3-1x3

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Solution

In the given problem, we have to find the value of

Given

We shall use the identity

Here putting,

In order to find we are using identity

x-1x2=x2+1x2-2×x×1x
​

In order to find we are using identity

Here and

Hence the value of is .


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