Question

if x-1/x=7, then find the value of x square +1/x square ​

Answer 1

Answer:

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The answer is 51

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Step-by-step explanation:

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Given:-

• $x - \frac{1}{x} = 7$

To Find:-

• ${x}^{2} + \frac{1}{ {x}^{2} }$

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$we \: have \: \: x - \frac{1}{x} = 7 \\ \\ squaring \: on \: both \: sides \\ \\ = = > \: {(x - \frac{1}{x}) }^{2} = {7}^{2} \\ \\ = = > \: \: {x}^{2} + \frac{1}{ {x}^{2} } - 2 \times x \times \frac{1}{x} = 49 \\ \\ = = > \: \: {x}^{2} + \frac{1}{ {x}^{2} } - 2 = 49 \\ \\ = = > \: \: {x}^{2} + \frac{1}{ {x}^{2} } = 49 + 2 \\ \\ = = > \: \: {x}^{2} + \frac{1}{ {x}^{2} } = 51$

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