Question

if x^2+1/x^2 = 79 find the value of x-1/x
please give me ans fast​

Answer 1

Given,

$\[{x^2} + \frac{1}{{{x^2}}} = 79\]$

$\[x - \frac{1}{x} = ?\]$

Solution,

$\[ = {\left( {x - \frac{1}{x}} \right)^2}\]$

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

$\[\begin{array}{l} = 79 - 2\\ = 77\end{array}\]$

$\[\left( {x - \frac{1}{x}} \right) = \sqrt {77} \]$

Hence the value of $\[\left( {x - \frac{1}{x}} \right)\]$ is $\[\sqrt {77} \]$

Answer 2

Answer

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