Question : If $x^2+\frac{1}{x^2}=98$, then the value of $x+\frac{1}{x}$ is:
Option 1: 10
Option 2: 8
Option 3: 7
Option 4: 9
Answer (1)
20th Jan, 2024
Correct Answer: 10
Solution :
$x^2+\frac{1}{x^2}=98$
$⇒x^2+\frac{1}{x^2}+2=100$
$⇒x^2+\frac{1}{x^2}+2×x×\frac{1}{x}=100$
$⇒(x+\frac{1}{x})^2=10^2$
$\therefore x+\frac{1}{x}=10$
Hence, the correct answer is 10.
Comments (0)
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Thank You!
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Exam Date:
14 Nov, 2025
- 4 Dec, 2025
Tier I
Exam Date:
12 Nov, 2025
- 30 Nov, 2025
Application Date:
21 Oct, 2025
- 20 Nov, 2025
Mains Exam
Exam Date:
21 Nov, 2025
- 21 Nov, 2025
Trending Articles around SSC CPO
List of Defence Exams in India
10 minutes ago
RRB Exams 2025 List - Annual Calendar (Released)
15 minutes ago
