Question
Download Solution PDFIf \(\rm \left(3y-\frac{3}{y}\right)=5 \), find the value of \(\rm \left(y^2+\frac{1}{y^2}\right) \) ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
\(\rm \left(3y-\frac{3}{y}\right)=5 \)
Formula Used :
(a - b)2 = a2 + b2 - 2ab
Calculation :
⇒ y - 1/y = 5/3
⇒ y2 + 1/y2 - 2 = 25/9
⇒ y2 + 1/y2 = 25/9 + 2
⇒ y2 + 1/y2 = (25 +18)/9
⇒ y2 + 1/y2 = 43/9
∴ The correct answer is 43/9.
Last updated on Jul 15, 2025
-> 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 UP LT Grade Teacher 2025 Notification has been released for 7466 vacancies.