Question : If $x+5+\frac{1}{x+1}=6$, then the value of $(x+1)^{3}+\frac{1}{(x+1)^{3}}$ is:
Option 1: 2
Option 2: 0
Option 3: –2
Option 4: 4
Answer (1)
25th Jan, 2024
Correct Answer: 2
Solution :
Given: $x+5+\frac{1}{x+1}=6$
Subtracting both sides 4
$x+1+\frac{1}{x+1}=2$
Use formula,
$a^3+b^3 = (a+b)^3-3ab(a+b)$
So, $(x+1)^{3}+\frac{1}{(x+1)^{3}}=2^3-3\times 2$
$= 8 – 6 = 2$
Hence, the correct answer is 2.
Comments (0)
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Get Updates Brochure
Thank You!
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Application Date:
9 Dec, 2024
- 30 Dec, 2024
Application Date:
2 Dec, 2024
- 31 Dec, 2024
Admit Card Date:
23 Dec, 2024
- 5 Jan, 2025
Exam Date:
3 Jan, 2025
- 16 Jan, 2025
Application Date:
15 Dec, 2024
- 5 Jan, 2025
Trending Articles around SSC CGL
RRB Exams 2025 List - Annual Calendar (Released)
23 hours ago
