A quadratic equation x 2 + b x + c = 0 x^2 + bx + c = 0 x 2 + b x + c = 0 has two real roots. If the difference between the reciprocals of the roots i...

CAT Medium Quadratic Equations Integer

Question

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:

Enter your answer as an integer value

roots of quadraticreciprocal propertiesalgebraic manipulationcat 2023

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