Home Maths Quadratic Equations General If , show that the roots of the equation
Maths Quadratic Equations General Single Correct MCQ
Published on: August 12, 2026

If , show that the roots of the equation

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
A

Assume is a complex root of the given equation, then conjugate of this root, i.e. is also root of this equation. On putting and in the given equation, we get

and

On subtracting Eq. (i) from Eq. (ii), we get

The expression in bracket

Hence, all roots of the given equation are real.

──────────────────────────────────────────────────────────────────────────────────────────

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.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.