Question

If x^2 +1/x^2=34 then x-1/x?

Answer 1

Answer:

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Answer 2

Answer:

$x - \frac{1}{x} = 4 \sqrt{2}$

Step-by-step explanation:

${x}^{2} + \frac{1}{ {x}^{2} } = 34$

${x}^{2} + \frac{1}{ {x}^{2} } - 2 \times x \times \frac{1}{x} = 34 - 2 \times x \times \frac{1}{x}$

${(x - \frac{1}{x} )}^{2} = 34 - 2$

${(x - \frac{1}{x}) }^{2} = 32$

$x - \frac{1}{x} = \sqrt{32}$

$x - \frac{1}{x} = \sqrt{16 \times 2}$

$x - \frac{1}{x} = 4 \sqrt{2}$

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