Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The equation of smallest degree with real coefficients having
as one of the roots is
Text Solution
Verified by ExpertsThe correct answer is:
C
Since complex roots always exist in conjugate pair, so other root will be
.
Now,
sum of roots 
and
product of roots 
So, required equation will be

──────────────────────────────────────────────────────────────────────────────────────────
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 the roots of the equation are
The number of real roots of is
Find the value of such that the difference of the roots of the equation is 2.
If is a root of the equation , where , then find the values of and are respectively.
If and where , then the equation whose roots are and is
If are the roots of the equation , then the value of equals