Let be the three roots of the equation x 3 + b x + c = 0 . If = 1 = , then the value of b 3 + 2 c 3 - 3 3 - 6 3 - 8 3 is equal to [2023]

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Solution

Q.
Let $α, β, γ$ be the three roots of the equation $x^{3} + b x + c = 0 .$ If $β γ = 1 = - α$ , then the value of $b^{3} + 2 c^{3} - 3 α^{3} - 6 β^{3} - 8 γ^{3}$ is equal to [2023]

1 21

2 $\frac{169}{8}$

3 $\frac{155}{8}$

4 19

Ans.
(4)

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