Question 110
The polynomial $f(x) = x^2 + bx + 8$, $b \neq 0$, has two different real roots $x_1$ and $x_2$. The numbers $x_1 + 1/x_2$ and $x_2 + 1/x_1$ are the roots of the monic polynomial $g(x)$ of degree 2.
Find all possible values of $g(1)$ if $g(1) = f(1)$.
Find all possible values of $g(1)$ if $g(1) = f(1)$.