NVAMediumJEE Main 2025 · 2 April, Shift 2Nature of Roots & Formation of Equations

Mathematics Question from JEE Main 2025 · 2 April, Shift 2

If the set of all aR{1}a \in \mathbb{R} \setminus \{1\}, for which the roots of the equation (1a)x2+2(a3)x+9=0(1 - a)x^2 + 2(a - 3)x + 9 = 0 are positive is (,α][β,γ)(-\infty, -\alpha] \cup [\beta, \gamma), then 2α+β+γ2\alpha + \beta + \gamma is equal to _____.](streamdown:incomplete-link)

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