JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Application +4 | -1

\alpha ,\beta ,\gamma

are the roots of the equation

{x^3} + x + 1 = 0

, then the value of

{\alpha ^3} + {\beta ^3} + {\gamma ^3}

View answer and explanation

Correct option: C

- 3

Option C (

-3

) is correct because it is the value of

{\alpha ^3} + {\beta ^3} + {\gamma ^3}

calculated using Vieta's formulas and the given cubic equation.

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