If the set of all a R \1, for which the roots of the equation (1 - a)x² + 2(a - 3)x + 9 = 0 are positive is (-∞, -α] [β, γ), then 2α + β + γ is equal to:

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q25

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

If the set of all

a \in \mathbb{R} \setminus \{1\}

, for which the roots of the equation

(1 - a)x^2 + 2(a - 3)x + 9 = 0

are positive is

(-\infty, -\alpha] \cup [\beta, \gamma)

, then

2\alpha + \beta + \gamma

is equal to:

Your answerInteger or decimal