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Question

If (x−1/x)=10, then find the value of x2+1/x2.

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Solution

Let, (x−1/x)=10........(1).

Now x2+1/x2

=(x−1/x)2+2.x.1/x Use : (x−1/x)2 = x2 + 1/x2 - 2.x.1/x

=(10)2+2 [Using (1)]

=102.


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