Question

x is equal to 3 minus root 13 by 2 then find the value of x^2+1/x^2​

Answer 1

$x = 3 - \frac{ \sqrt{13} }{2} \\ \\ {x}^{2} + \frac{1}{ \ {x}^{2} } \\ { {3}^{2} - \frac{ \sqrt{13} }{ {2}^{2} } }^{2} + \frac{1}{ { {3}^{2} - \frac{ \sqrt{13} }{ {2}^{2} } }^{2} } \\ 9 - \frac{13}{4} + \frac{1}{9 - \frac{13}{4} } \\ \frac{36 - 13}{4} + \frac{4}{36 - 13} \\ \frac{23}{4} + \frac{4}{23} \\ \frac{529 + 16}{92} \\ \frac{545}{92} \\ 5 \frac{85}{92}$