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Quadratic Equation and Inequalities question

2023 · 8 Apr · Shift 1 · Q33

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2023 · 8 Apr · Shift 1 · Q33

Quadratic Equation and Inequalities question

2023 · 8 Apr · Shift 1 · Q33

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

Let

\alpha, \beta, \gamma

be the three roots of the equation

x^{3}+b x+c=0

. If

\beta \gamma=1=-\alpha

, then

b^{3}+2 c^{3}-3 \alpha^{3}-6 \beta^{3}-8 \gamma^{3}

is equal to :

A
21
B
19
C
$\frac{169}{8}$
D
$\frac{155}{8}$

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