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JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Application +4 | -1
If α,β,γ\alpha, \beta, \gamma are the roots of 2x3−x+1=02 x^3-x+1=0 then the value of α3+β3+γ3\alpha^3+\beta^3+\gamma^3 is
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Correct option: C
−32-\frac{3}{2}
Option C (-32\frac{3}{2}) is correct because by using Vieta's formulas and the given cubic equation, we can find the sum of the cubes of the roots.

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