Question 99
Find the minimum of
$$
\frac{1+a+b+c}{3+2a+b} - \frac{c}{b}
$$
where $a$, $b$, $c$ are real numbers such that all roots of the equation $x^3 - a x^2 + b x - c = 0$ are real positive numbers.
$$
\frac{1+a+b+c}{3+2a+b} - \frac{c}{b}
$$
where $a$, $b$, $c$ are real numbers such that all roots of the equation $x^3 - a x^2 + b x - c = 0$ are real positive numbers.