Question : If $x+\frac{1}{x}=-2$, then what is the value of $x^{17}+x^{-17}+x^{12}+x^{-12} ?(x<0)$
Option 1: –2
Option 2: –1
Option 3: 1
Option 4: 0
Answer (1)
22nd Jan, 2024
Correct Answer: 0
Solution :
Given $x+\frac{1}{x}=-2$
$⇒x^2+1=-2x$
$⇒x^2+2x+1=0$
$⇒(x+1)^2=0$
$⇒x=-1$
Now, putting the value of $x=-1$ in $x^{17}+x^{-17}+x^{12}+x^{-12}$ we get:
$=(-1)^{17}+(-1)^{-17}+(-1)^{12}+(-1)^{-12}$
$=-1-1+1+1=0$
Hence, the correct answer is 0.
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:
23 Oct, 2024
- 25 Dec, 2024
Application Date:
9 Dec, 2024
- 30 Dec, 2024
Application Date:
2 Dec, 2024
- 31 Dec, 2024
Exam Date:
3 Jan, 2025
- 16 Jan, 2025
General Insurance Corporation Of India Assistant Manager Exam
- (GIC ASSISTANT MANAGER SCALE I EXAM)
Exam Date:
5 Jan, 2025
- 5 Jan, 2025
