Question

solve this question with step ​

Answer 1

Answer:

Given x+1/x = 5

On squaring both sides , we get

x²+1/x² + 2 x . 1/x = 5²

x²+1/x² +2= 25

x²+1/x² = 23 (Ans)

Answer 2

Answer:

$x + \frac{1}{x} = 5 \\ \\ squaring \: bi \\ oth \: sides \\ \\ (x + \frac{1}{x} ) ^{2} = {5}^{2} \\ \\ {x}^{2} + { \frac{1}{ {x}^{2} } }^{2} + 2 = 25 \\ \\ x {}^{2} + \frac{1}{x^2} = 23$