Question
Download Solution PDFयदि x2 - 1/x2 = 4 \(\sqrt2\) , तो x4 - 1/x4 का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFx2 -1/x2 = 4√2
प्रयुक्त :-
(A + B)2 = A2 + B2 + 2AB
(A2 - B2) = (A+ B) (A - B)
गणना:-
दोनों पक्षों का वर्ग करने पर
⇒ (x2 -1/x2)2 = (4√2 )2
⇒ x4 + 1/x4 - 2 = 32
⇒ x4 + 1/x4 = 34
दोनों पक्षों में 2 जोड़ने पर
⇒ x4 + 1/x4 + 2 = 34 +2
⇒ (x2 + 1/x2)2 = 62
⇒ (x2 + 1/x2) = 6 ....(1)
प्रश्न के अनुसार,
⇒ x4 - 1/x4 = (x2 + 1/x2) (x2 -1/x2)
⇒ (4√2) × 6 = 24√ 2
∴ अभीष्ट उत्तर 24√ 2 है।
Last updated on Jun 13, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> 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.
-> Candidates should also use the SSC CGL previous year papers for a good revision.