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Identity (x+y)(x-y)

If x+1 x=3, t...

Question

If x + $\frac{1}{x}$ = 3, then find the value of $x^{2} + \frac{1}{x^{2}}$ .

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Solution

We have to find the value of

Given

Using identity

Here

By substituting the value of we get,

By transposing + 2 to left hand side, we get

Hence the value of is .

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x = 3 - 2 \sqrt{2}

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