Question

if x+1/x=5,find the value of x-1/x

Answer 1

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$(x + \frac{1}{x} ) {}^{2} = {(5)}^{2} \\ \\ {(x + \frac{1}{x} )}^{2} = {x}^{2} + \frac{1}{{x}^{2} } + 2 \\ \\ {(5)}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } + 2 \\ \\ 25 - 2 = {x}^{2} + \frac{1}{ {x}^{2} } \\ \\ 23 = {x}^{2} + \frac{1}{ {x}^{2} } \\ \\ \\ \\ (x - \frac{1}{x} ) {}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } - 2 \\ \\ (x - \frac{1}{x} ) {}^{2} = 23 - 2 \\ \\ (x - \frac{1}{x} ) {}^{2} = 21 \\ \\ (x - \frac{1}{x} ) = \sqrt{21}$

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Answer 2

Answer:

here is your answer see it