Question
Download Solution PDFযদি x + y = 8, x এবং y এর গুণফল 15 হয়, তাহলে x4 + y4 এর মান হল:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
x + y = 8
x × y = 15
ব্যবহৃত ধারণা:
(a + b) 2 = a 2 + b 2 + 2ab
গণনা:
আমরা জানি,
⇒ (x + y) 2 = x 2 + y 2 + 2xy
মান স্থাপন করা,
⇒ 8 2 = x 2 + y 2 + 2 × 15
⇒ x 2 + y 2 = 64 – 30 = 34
⇒ x 2 + y 2 = 34
উভয় পক্ষের স্কোয়ারিং, আমরা পেতে
⇒ (x 2 + y 2 ) 2 = (34) 2
⇒ x 4 + y 4 + 2x 2 y 2 = 1156
⇒ x 4 + y 4 + 2 × (15) 2 = 1156
⇒ x 4 + y 4 = 1156 – 2 × 225 = 1156 – 450 = 706
সুতরাং, x 4 + y 4 এর প্রয়োজনীয় মান হল 706।
Last updated on Jun 30, 2025
-> The RRB NTPC Admit Card 2025 has been released on 1st June 2025 on the official website.
-> The RRB Group D Exam Date will be soon announce on the official website. Candidates can check it through here about the exam schedule, admit card, shift timings, exam patten and many more.
-> A total of 1,08,22,423 applications have been received for the RRB Group D Exam 2025.
-> The RRB Group D Recruitment 2025 Notification was released for 32438 vacancies of various level 1 posts like Assistant Pointsman, Track Maintainer (Grade-IV), Assistant, S&T, etc.
-> The minimum educational qualification for RRB Group D Recruitment (Level-1 posts) has been updated to have at least a 10th pass, ITI, or an equivalent qualification, or a National Apprenticeship Certificate (NAC) granted by the NCVT.
-> This is an excellent opportunity for 10th-pass candidates with ITI qualifications as they are eligible for these posts.
-> The selection of the candidates is based on the CBT, Physical Test, and Document Verification.
-> Prepare for the exam with RRB Group D Previous Year Papers.