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Suppose a, b, c,d be non-zero real numb...

Suppose a, b, c,d be non-zero real number and `ab gt 0`, and `int_(0)^(1)"("1+e^(x^(2))")"(ax^(3)+bx^(2)+cx+d)dx=int_(0)^(2)"("1+e^(x^(2))")"`
`(ax^(3)+bx^(2)+cx+d)dx=0`
The equation `ax^(3)+bx^(2)+cx+d=0` has

A

three positive roots

B

three negative roots

C

two positive and one negative roots

D

one positive & two negative roots

Text Solution

Verified by Experts

The correct Answer is:
C
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