If a, b, g are the roots of the equation \[2{{x}^{3}}-3{{x}^{2}}+6x+1=0\], then \[{{\alpha }^{2}}+{{\beta }^{2}}+{{\gamma }^{2}}\] is equal to [Karnataka CET 2005]

If a, b, g are the roots of the equation \[2{{x}^{3}}-3{{x}^{2}}+6x+1=

1.	If a, b, g are the roots of the equation \[2{{x}^{3}}-3{{x}^{2}}+6x+1=0\], then \[{{\alpha }^{2}}+{{\beta }^{2}}+{{\gamma }^{2}}\] is equal to [Karnataka CET 2005]
A.	-\[\frac{15}{4}\]
B.	\[\frac{15}{4}\]
C.	\[\frac{9}{4}\]
D.	4
Answer» B. \[\frac{15}{4}\]

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If a, b, g are the roots of the equation \[2{{x}^{3}}-3{{x}^{2}}+6x+1=0\], then \[{{\alpha }^{2}}+{{\beta }^{2}}+{{\gamma }^{2}}\] is equal to [Karnataka CET 2005]

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