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Mathematics · 2025

JEE Main · 23 January 2025, Shift 1 · Q25

If the set of all values of a, for which the equation 5 x^3-15 x-a=0 has three distinct real roots, is the interval (α, β), then β-2 α is equal to…

If the set of all values of $\displaystyle a$, for which the equation $\displaystyle 5 x^3-15 x-a=0$ has three distinct real roots, is the interval $\displaystyle (\alpha, \beta)$, then $\displaystyle \beta-2 \alpha$ is equal to $\displaystyle \_\_\_\_$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.