Quadratic Roots Difference Inequality (Jee Mains)

Roots and Nature of Roots

Medium

Quadratic Roots Difference Inequality

Let α, β be the roots of the quadratic equation 12x² – 20x + 3λ = 0, λ ∈ ${\Bbb Z}$ . If $\frac{1}{2} \leqslant \,\,|\beta - \alpha |\,\, \leqslant \frac{3}{2}$ , then the sum of all possible values of λ is :

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