If \[\alpha \]and \[\beta \] are roots of the equation \[A{{x}^{2}}+Bx+C=0\], then value of \[{{\alpha }^{3}}+{{\beta }^{3}}\] is [RPET 1996; DCE 2005]

\[\frac{3ABC+{{B}^{3}}}{{{A}^{3}}}\]

\[\frac{3ABC-{{B}^{3}}}{{{A}^{3}}}\]

\[\frac{{{B}^{3}}-3ABC}{{{A}^{3}}}\]

\[\frac{{{B}^{3}}-3ABC}{{{B}^{3}}}\]

If \[\alpha \]and \[\beta \] are roots of the equation \[A{{x}^{2}}+Bx

1.	If \[\alpha \]and \[\beta \] are roots of the equation \[A{{x}^{2}}+Bx+C=0\], then value of \[{{\alpha }^{3}}+{{\beta }^{3}}\] is [RPET 1996; DCE 2005]
A.	\[\frac{3ABC-{{B}^{3}}}{{{A}^{3}}}\]
B.	\[\frac{3ABC+{{B}^{3}}}{{{A}^{3}}}\]
C.	\[\frac{{{B}^{3}}-3ABC}{{{A}^{3}}}\]
D.	\[\frac{{{B}^{3}}-3ABC}{{{B}^{3}}}\]
Answer» B. \[\frac{3ABC+{{B}^{3}}}{{{A}^{3}}}\]

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If \[\alpha \]and \[\beta \] are roots of the equation \[A{{x}^{2}}+Bx+C=0\], then value of \[{{\alpha }^{3}}+{{\beta }^{3}}\] is [RPET 1996; DCE 2005]

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