Question

If x = 5-2 underroot 6 then find the value of x ^2 +1/x^2 ​

Answer 1

Answer:

$5.388$

Step-by-step explanation:

$x = 5 - 2 \sqrt{6} \\ = > x = 3 \sqrt{6}$

${x}^{2} + \frac{1}{ {x}^{2} } \\ = ( {3 \sqrt{6} )}^{2} + \frac{1}{(3 \sqrt{6}) ^{2} } \\ = 54 + \frac{1}{54} \\ = \frac{2916 + 1}{54} \\ = \frac{2917}{54} \\ = 5.388$

Answer 2

$\huge \red{ \mathtt{5.388}}$