Question : If $a+\frac{1}{a}=8$, then what is the value of $\frac{1}{a^4}+a^4 ?$
Option 1: 4098
Option 2: 3846
Option 3: 3842
Option 4: 4094
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: 3842
Solution :
$(a + \frac{1}{a}) = 8$
Squaring both sides, we get,
⇒ $ (a^2 + \frac{1}{a^2}) + 2 = 64$
⇒ $(a^2 + \frac{1}{a^2}) = 62$
Squaring both sides again, we get,
⇒ $a^4 + \frac{1}{a^4} + 2 = 3844$
⇒ $a^4 + \frac{1}{a^4} = 3844 - 2$
⇒ $a^4 + \frac{1}{a^4} = 3842$
Hence, the correct answer is 3842.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates BrochureYour Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.