CAT 2023 Slot 3 QA · Question 5

A quadratic equation $x^2+bx+c=0$ has two real roots. If the difference between the reciprocals of the roots is $\frac{1}{3}$, and the sum of the reciprocals of the squares of the roots is $\frac{5}{9}$, then the largest possible value of $(b+c)$ is