Quadratic Roots Conditions (Jee Mains) | ExamDuo
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Location of Roots and Higher Degree Equations
Medium
Quadratic Roots Conditions
If the set of all a ∈ R – {1}, for which the roots of the equation (1 – a)x
2
+ 2(a – 3)x + 9 = 0 are positive is (–∞, –α] ∪[β, γ), then 2α + β + γ is equal to _________.
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