If the sum of the squares of the reciprocals of the roots … and … of the equation 3x² + …x … 1 = 0 is 15, then 6(…³ + …³)² is equal to :

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Quadratic Equation and Inequalities

JEE Main 2022 · 24 Jun, Morning shift · Q5155

MathematicsHard129×since 2002Q5155

If the sum of the squares of the reciprocals of the roots

\alpha

and

\beta

of the equation 3x² +

\lambda

-

1 = 0 is 15, then 6(

\alpha

³ +

\beta

³)² is equal to :