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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1
If α,β\alpha, \beta and γ\gamma are the roots of the equation x3+ax+bx^3+a x+b =0=0, then α3+β3+γ3α2+β2+γ2=?\frac{\alpha^3+\beta^3+\gamma^3}{\alpha^2+\beta^2+\gamma^2}=?
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Correct option: A
3b/2a3 b / 2 a
The correct answer is A (3b/2a3 b / 2 a) because α+β+γ=0\alpha+\beta+\gamma=0 and α3+β3+γ3=3αβγ\alpha^3+\beta^3+\gamma^3=3 \alpha \beta \gamma, which simplifies the expression to 3b/2a3b/2a.

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