CAT 2023 · Slot 3Quantitative AbilityQuadratic EquationsHARD+3 / −1TITA

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

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CAT 2023 · Slot 3Quantitative AbilityQuadratic EquationsHARD+3 / −1TITA

Practice the full paper

Attempt CAT 2023 Slot 3 Question Paper with real exam interface and instant grading.

A quadratic equation x2+bx+c=0x^2 + bx + c = 0x2+bx+c=0 has two real roots. If the difference between the reciprocals of the roots is 13\frac{1}{3}31​, and the sum of the reciprocals of the squares of the roots is 59\frac{5}{9}95​, then the largest possible value of (b+c)(b + c)(b+c) is