Question 153
A positive number $x$ checks the ratio $$
x^{2} + \frac{1}{x^{2}} = 7
$$ to show that $$
x^{5} + \frac{1}{x^{5}}
$$ is integer and calculate its value.
x^{2} + \frac{1}{x^{2}} = 7
$$ to show that $$
x^{5} + \frac{1}{x^{5}}
$$ is integer and calculate its value.