Question
Download Solution PDFIf x4 + \(\frac{1}{{{x^4}}}\) = 194 and x3 + \(\frac{1}{{{x^3}}}\) = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
x4 + \(\frac{1}{{{x^4}}}\) = 194
Calculations:
According to question,
x4 + \(\frac{1}{{{x^4}}}\) = 194
⇒x² + 1/x² = √(194 + 2)
⇒x² + 1/x² = 14
⇒x + 1/x = √(14 + 2) = √16 = 4
now, x³ + 1/x³
= 4³ - 3(4)
= 64 - 12
= 52
Hence, The Required value is 52.
Last updated on Jul 11, 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.
-> The RRB Railway Teacher Application Status 2025 has been released on its official website.