Question

if x^2 + 1/x^2 = 51 ,find the value of ( x-1/x)​

Answer 1

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Given:

${x}^{2} + \frac{1}{ {x}^{2} } = 51$

Subtracting 2 on both sides,

${x}^{2} + \frac{1}{ {x}^{2} } - 2 = 49$

${(x - \frac{1}{x} )}^{2} = 49$

$(x - \frac{1}{x} ) = \frac{ + }{ - } 7$

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