If x-1 x-5- find the value of x 2-1 x 2 and x 4-1 x 4-

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Expansion of (x^2 - y^2)

If x+1 x=5, f...

Question

If $x + \frac{1}{x} = \sqrt{5}$ , find the value of $x^{2} + \frac{1}{x^{2}}$ and $x^{4} + \frac{1}{x^{4}}$ .

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Solution

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Similar questions

x - \frac{1}{x} = 3,

x^{2} + \frac{1}{x^{2}}

x^{4} + \frac{1}{x^{4}} .

x^{4} + \frac{1}{x^{4}} = 194,

x^{3} + \frac{1}{x^{3}}, x^{2} + \frac{1}{x^{2}}

x + \frac{1}{x}

If $x + \frac{1}{x} = 3$ , calculate $x^{2} + \frac{1}{x^{2}}, x^{3} + \frac{1}{x^{3}}$ and $x^{4} + \frac{1}{x^{4}}$

x^{2} + \frac{1}{x^{2}} = 18,

x + \frac{1}{x} and x - \frac{1}{x} .

(x + \frac{1}{x}) = 4

(x^{2} + \frac{1}{x^{2}})

(x^{4} + \frac{1}{x^{4}})

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