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Identity (x+y)(x-y)

If x+1 x=11, ...

Question

If $x + \frac{1}{x} = 11,$ find the value of $x^{2} + \frac{1}{x^{2}}$ .

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Solution

In the given problem, we have to find

Given

On squaring both sides we get,

Hence the value of is .

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