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[Post New]24 Apr 2008 16:34:45 IST
    Subject: Re:quadratic..
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sboosy (3063)

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ax^3+bx^2+cx+d=0 \\ \\ \mbox{Let the roots of the equation be} \ \alpha,\beta,\gamma \\ \\ \mbox{Sum of the roots} = \frac{\mbox{-coeff.of} \ x^2}{\mbox{coeff.of} \ x^3} \Rightarrow \alpha+\beta+\gamma = \frac{-b}{a} \\ \\ \mbox{Sum taken two at a time} = \frac{\mbox{coeff.of} \ x}{\mbox{coeff.of} \ x^3} \ \Rightarrow \alpha\beta+\beta\gamma+\gamma\alpha = \frac{c}{a} \\ \\ \mbox{Product of the roots} \ = \frac{-\mbox{Constant term}}{\mbox{coeff.of} \ x^3} \ \Rightarrow \alpha\beta\gamma = \frac{-d}{a} \\
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