Question : If $x=\sqrt[3]{x^{2}+11} –2$, then the value of $(x^3+5x^2+12x)$ is:
Option 1: 0
Option 2: 3
Option 3: 7
Option 4: 11
Answer (1)
16th Jan, 2024
Correct Answer: 3
Solution :
Given:
$x=\sqrt[3]{x^{2}+11} –2$
⇒ $x+2=\sqrt[3]{x^{2}+11}$
⇒ $(x+2)^3=(x^{2}+11)$ (Taking cube on both sides)
⇒ $x^3+6x^2+12x+8=x^{2}+11$
⇒ $x^3+5x^2+12x=3$
Hence, the correct answer is 3.
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)
8 hours ago
