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The values of K for which the equation 3x 3 + x 2 -7+K has exactly two roots in between [0,1]

The values of K for which the equation 3x+ x 2 -7+K has exactly two roots in between [0,1]

Grade:12

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
6 years ago
f’(x)=9x2+2x=x(9x+2)>0 for all x belongs to +ve so f(x) is monotonic for all x>0 so there is no possiblity of k for which equation has 2 solution in between [0,1]

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