Question : If $x^2+\frac{1}{x^2}=4$, then what is the value of $x^4+\frac{1}{x^4}$?
Option 1: 16
Option 2: 14
Option 3: 12
Option 4: 20
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 14
Solution :
Given that $x^2+\frac{1}{x^2}=4$,
Squaring both sides, we get,
$⇒(x^2+\frac{1}{x^2})^2 = 4^2$
$⇒x^4 + 2 + \frac{1}{x^4} = 16$
$⇒x^4 + \frac{1}{x^4} = 16 - 2 = 14$
Hence, the correct answer is 14.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
