Question
Download Solution PDFযদি x + y = 10 এবং xy = 12 হয়, তাহলে x2 - xy + y2 এর মান নির্ণয় করো।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
যদি x + y = 10 এবং xy = 12
ব্যবহৃত সূত্র:
(x + y)2 = x2 + 2xy + y2
গণনা:
(x + y)2 = x2 + 2xy + y2
⇒ 102 = x2 + 2xy + y2
⇒ 100 = x2 + 2(12) + y2
⇒ 100 = x2 + 24 + y2
⇒ x2 + y2 = 100 - 24
⇒ x2 + y2 = 76
আমাদের x2 - xy + y2 এর মান নির্ণয় করতে হবে
⇒ x2 - xy + y2 = 76 - 12
⇒ x2 - xy + y2 = 64
∴ সঠিক উত্তর হলো বিকল্প (3)।
Last updated on Jun 3, 2025
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