Question

please solve this. step to step

Answer 1

Hey friend,
Here is the answer you were looking for:
$x + \frac{1}{x} = 2 \\ \\ (squaring \: both \: the \: sides) \\ \\ (x + \frac{1}{x} )^{2} = {(2)}^{2} \\ \\ using \: the \: identity \\ {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ \\ {(x)}^{2} + {( \frac{1}{x} )}^{2} + 2 \times x \times \frac{1}{x} = 4 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 4 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 4 - 2 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 2$

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@Mahak24

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