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JEE Main202127 Aug 2021Morning ShiftMathematicsApplication of DerivativesActual

The number of distinct real roots of the equation 3 x 4 + 4 x 3 - 12 x 2 + 4 = 0 is _________.

Correct answer

0

Step-by-step solution

3 x 4 + 4 x 3 - 12 x 2 + 4 = 0 So, let f x = 3 x 4 + 4 x 3 - 12 x 2 + 4 ∴   f ' x = 12 x x 2 + x - 2 = 12 x x + 2 x - 1 f 0 = 4 f 1 = - 1 Ans. 4

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