Question

If x+1/x=13/6 then find the value of xsquare +1/x square

Answer 1

$= > \: \: x + \frac{1}{x} = \frac{13}{6} \\ \\ squaring \: both \: sides \\ \\ = > \: \: {(x + \frac{1}{x} )}^{2} = {( \frac{13}{6} )}^{2} \\ \\ = > \: \: {x}^{2} + {( \frac{1}{x} )}^{2} + 2 \times x \times \frac{1}{x} = \frac{169}{36} \\ \\ = > \: \: {x}^{2} + {( \frac{1}{x} )}^{2} = \frac{338 - 36}{72} \\ \\ = > \: \: {x}^{2} + {( \frac{1}{x} )}^{2} = \frac{151}{36}$