MathNet 2026 — Part 07 Question 71

The equation $x^{2}-b x+c=0$ has two roots $p$ and $q$. If the product $p q$ is to be maximum, what value of $b$ will make $b+c$ minimum?


(a) $-c$

(b) $-2$

(c) $\frac{1}{2}$

(d) $2c$