Home Maths Quadratic Equations General The number of real roots of the equation , …
Maths Quadratic Equations General Numeric Response
Published on: August 13, 2026

The number of real roots of the equation , is

Share this question

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

Text Solution

Verified by Experts
The correct answer is:
0

(0)

We are asked:

Find the number of real roots of

Step 1: Observe the sum of squares

for all real .

Sum of non-negative numbers is 0 only if each term .

Impossible for a single to satisfy all three simultaneously.

Step 2: Conclusion

No real satisfies the equation.

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

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.