If x + \(\frac{1}{x}\) = 9, then find x4\(\frac{1}{x^4}\).

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 4)
View all SSC CGL Papers >
  1. 5431
  2. 6561
  3. 6156
  4. 6239

Answer (Detailed Solution Below)

Option 4 : 6239
super-pass-live
Free
SSC CGL Tier 1 2025 Full Test - 01
3.3 Lakh Users
100 Questions 200 Marks 60 Mins

Detailed Solution

Download Solution PDF

Given

(x + 1/x) = 9

Concept used

If (a + 1/a) = k

(a2 + 1/a2) = K2 - 2

Calculation

(a2 + 1/a2) = K2 - 2

⇒ (x2 + 1/x2) = 92 - 2

⇒ (x2 + 1/x2) = 79

⇒ (x4 + 1/x4) = 792 - 2

⇒ (x4 + 1/x4) = 6241 - 2

⇒ 6239

The value of the expression is 6239.

Latest SSC CGL Updates

Last updated on Jul 10, 2025

-> The SSC CGL Application Correction Window Link Live till 11th July. Get the corrections done in your SSC CGL Application Form using the Direct Link.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

More Algebra Questions

Get Free Access Now
Hot Links: teen patti gold download apk mpl teen patti teen patti download