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Expansion of (x+a)(x+b)

If x 4+1 x 4=...

Question

If $x^{4} + \frac{1}{x^{4}} = 119$ , find the value of $x^{3} - \frac{1}{x^{3}}$

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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

${(x - \frac{1}{x})}^{2} = x^{2} + \frac{1}{x^{2}} - 2 \times x \times \frac{1}{x}$

In order to find we are using identity

Here and

Hence the value of is .

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Similar questions

If $x^{4} + \frac{1}{x^{4}} = 119, find the value of x^{3} - \frac{1}{x^{3}}$ .

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are roots of the equation

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