The real number k for which the equation, 2x^3+3x + k = 0 has two distinct real roots in [0,1]
(1) lies between 2 and 3
(2) lies between −1and 0
(3) does not exist
(4) lies between 1 and 2

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Differentiate it

how can a cubic have two real roots? i thought it is either all real or 1real + 1 conjugate complex?

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