For what value of \[\lambda \] the sum of the squares of the roots of \[{{x}^{2}}+(2+\lambda )x-\frac{1}{2}(1+\lambda )=0\] is minimum?

For what value of \[\lambda \] the sum of the squares of the roots of

1.	For what value of \[\lambda \] the sum of the squares of the roots of \[{{x}^{2}}+(2+\lambda )x-\frac{1}{2}(1+\lambda )=0\] is minimum?
A.	\[3/2\]
B.	1
C.	\[1/2\]
D.	\[11/4\]
Answer» D. \[11/4\]

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For what value of \[\lambda \] the sum of the squares of the roots of \[{{x}^{2}}+(2+\lambda )x-\frac{1}{2}(1+\lambda )=0\] is minimum?

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