Question

find the value of x²+1/x²​

Answer 1

Answer:

23

Step-by-step explanation:

$x + \frac{1}{x} = 5 \\ \\ by \: squaring \: both \: the \: sides \: we \: get \\ \\ (x + { \frac{1}{x} )}^{2} = {5}^{2} \\ \\ {x}^{2} + { (\frac{1}{x} )}^{2} + 2 \times x \times \frac{1}{x} = 25 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 25 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 25 - 2 = 23$