The roots \alpha, \beta of the equation 3 x^2+\lambda x-1=0, satisfy \frac{1}{\alpha^2}+\frac{1}{\beta^2}=15. The value of \left(\alpha^3+\beta^3\right)^2, is

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CAT 2024 Slot 2 QA · Question 16

The roots $α, β$ of the equation $3 x^{2} + λ x - 1 = 0$ , satisfy $\frac{1}{α ^{2}} + \frac{1}{β ^{2}} = 15$ . The value of $(α^{3} + β^{3})^{2}$ , is

A.
9
B.
16
C.
4
D.
1

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