Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If one root of the equation
is 4 , while the equation
has equal roots, then the value of
, is [JEE (Main) 2004]
Text Solution
Verified by ExpertsThe correct answer is:
49
(49)
Here's a medium-level solution:
Given:
has root 4
has equal roots
Step 1: Find 
Substitute
into the first equation:

Step 2: Equal roots condition
For a quadratic
to have equal roots:

Step 3: Compute 

──────────────────────────────────────────────────────────────────────────────────────────
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
If the roots of are equal then
Let α α , β β be the roots of the equation , , then the roots of the equation are
Let a > 0, b > 0 & c > 0. Then both the roots of the equation ax 2 + bx + c = 0
Find the set of all real values of λ such that the root of the equation x 2 + 2(a + b + c)x + 3λ (a…
If for all , then belongs to the interval
If ' ' is real, then can take all real values if