If \[\alpha ,\beta \] are the roots of the equation \[{{x}^{2}}-(1+{{n}^{2}})x+\frac{1}{2}(1+{{n}^{2}}+{{n}^{4}})=0\]then the value of \[{{\alpha }^{2}}+{{\beta }^{2}}\] is [RPET 1996]

If \[\alpha ,\beta \] are the roots of the equation \[{{x}^{2}}-(1+{{n

1.	If \[\alpha ,\beta \] are the roots of the equation \[{{x}^{2}}-(1+{{n}^{2}})x+\frac{1}{2}(1+{{n}^{2}}+{{n}^{4}})=0\]then the value of \[{{\alpha }^{2}}+{{\beta }^{2}}\] is [RPET 1996]
A.	\[2n\]
B.	\[{{n}^{3}}\]
C.	\[{{n}^{2}}\]
D.	\[2{{n}^{2}}\]
Answer» D. \[2{{n}^{2}}\]

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If \[\alpha ,\beta \] are the roots of the equation \[{{x}^{2}}-(1+{{n}^{2}})x+\frac{1}{2}(1+{{n}^{2}}+{{n}^{4}})=0\]then the value of \[{{\alpha }^{2}}+{{\beta }^{2}}\] is [RPET 1996]

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