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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 -1 and 0 (3) does not exist (4) lies between 1 and 2

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 -1 and 0
(3) does not exist
(4) lies between 1 and 2

Grade:11

2 Answers

Saurabh Koranglekar
askIITians Faculty 10336 Points
2 years ago
576-1910_d.PNG
Vikas TU
14149 Points
2 years ago
F(x) = 2x^3+3x+k
f′(x) = 6x^2+3
f′(x) = 0
x^2 = -1/2
Not Possible.
As condition for two distinct real root is = 0

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