Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If 
and 
be two real roots of the equation 
satisfying the relation 
, then prove that 
.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. 
has 3 roots 
and 
now product of roots 
given 
thus 
so -r is a root of the equation so it should satisfy it, so replace x with 
we get,
but r cannot be 0
so 
. Hence Proved.
──────────────────────────────────────────────────────────────────────────────────────────
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 are the roots of the equation , then find the value of
(i) Solve the equation , one root being double of another. Hence find the value(s) of . (ii) Sol…
If are roots of equation , then find cubic equation with roots , .
If and are roots of , then find the value of .
Find the roots of if two of its roots are equal.