NVAMediumJEE Main 2025 · 23 January, Shift 1Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2025 · 23 January, Shift 1

If the set of all values of aa, for which the equation 5x315xa=05x^3 - 15x - a = 0 has three distinct real roots, is the interval (α,β)(\alpha, \beta), then β2α\beta - 2\alpha is equal to _____

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