If the set of all values of a, for which the equation 5x³ - 15x - a = 0 has three distinct real roots, is the interval (α, β), then β - 2α is equal to

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q23

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

If the set of all values of

a

, for which the equation

5x^3 - 15x - a = 0

has three distinct real roots, is the interval

(\alpha, \beta)

, then

\beta - 2\alpha

is equal to

Your answerInteger or decimal