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JEE Main202523 Jan 2025Morning ShiftMathematicsApplication of DerivativesActual

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 ( , ) , then -2 is equal to ______

Correct answer

0

Step-by-step solution

aligned & 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) aligned a (-10,10) =-10, =10 -2 =10+20=30

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