Question

Ik x square +1/x square=47
Find x+1/x

Answer 1

$\rm{given \: \: {x}^{2} + \frac{1}{ {x}^{2} } = 47}$

$\sf {(x + \frac{1}{x} ) }^{2} = {x}^{2} + \frac{1}{ {x}^{2} } + 2$

$\sf {(x + \frac{1}{x} ) }^{2} = 47 + 2$

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

$\sf x + \frac{1}{x} = \sqrt{49}$

$\fbox{\sf x + \frac{1}{x} = 7}$

Answer 2

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