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Bipin Dubey (13679)

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Let f(x) = ax3 + bx2 + cx + d

f'(x) = 3ax2 + 2bx + c

It is possible that f(x) has only one real root when it is increasing or decreasing.
Then discriminant of f'(x) should be less than zero.
D = (2b)2 - 4(3a)(c) < 0
 
b2 < 3ac


Bipin Kumar Dubey Chemical Dept. IIT Kharagpur
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