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Find the possible real values of k of equation 2x 3 +3x +k=0 in which two distinct roots lie in[0,1]

Find the possible real values of k of equation 2x+3x +k=0 in which two distinct roots lie in[0,1]

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Grade:11

1 Answers

Aditya Gupta
2075 Points
11 months ago
Let f(x)= 2x^3+3x+k
So f'(x)= 6x^2+3 which is always greater than zero.
This means that f(x) is a strictly increasing function, and hence will have only one real root. So, no possible value of k exists.
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