The value of $\lambda $ such that sum of the squares of the roots of the quadratic equation, x2 + (3 – $\lambda $)x + 2 = $\lambda $ has the least value is -

Question

The value of $\lambda $ such that sum of the squares of the roots of the quadratic equation, x² + (3 – $\lambda $)x + 2 = $\lambda $ has the least value is -

${{15} \over 8}$

${4 \over 9}$

Solution

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