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 ______

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​ 5 x 3 − 15 x − a = 0 f ( x ) = 5 x 3 − 15 x f ( x ) = 15 x 2 − 15 = 15 ( x − 1 ) ( x + 1 ) ​ a ∈ ( − 10 , 10 ) α = − 10 , β = 10 β − 2 α = 10 + 20 = 30

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