For what values of the parameter
the equation
has atleast two distinct negative roots?
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Given equation is

On dividing by
, we get






Taking ' + ' sign, we get



Taking '-' sign, we get 


Let
be the roots of Eq. (ii) and
be the roots of Eq. (iii).
Then,
and
and
and
Clearly,
and
∴ Either
will be imaginary or both real and positive according to the Eq. (i) has atleast two distinct negative roots. Therefore, both
and
must be negative.
Therefore,
(i)
, which is true as
.
(ii) 
all a.










──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems