Question
Download Solution PDFIf (4x - 7y) = 11 and xy = 8, what is the value of 16x2 + 49y2, given that x and y are positive numbers?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
4x - 7y = 11
xy = 8
Concept used:
(a + b)2 = a2 + b2 + 2ab
Calculation:
4x - 7y = 11
⇒ (4x - 7y)2 = 112
⇒ 16x2 + 49y2 - 56xy = 121
⇒ 16x2 + 49y2 - 448 = 121
⇒ 16x2 + 49y2 = 121 + 448
⇒ 16x2 + 49y2 = 569
∴ The required answer is 569.
Last updated on Jul 10, 2025
-> The SSC CGL Notification 2025 for the Combined Graduate Level Examination has been officially released on the SSC's new portal – www.ssc.gov.in.
-> 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.