Question
Download Solution PDFযদি x2 + 4y2 + 2x + 1 = 0 হয়, তাহলে x39 + y36 এর মান নির্ণয় করো।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
যদি x2 + 4y2 + 2x + 1 = 0 হয়
ব্যবহৃত সূত্র:
x এবং y উভয়ের জন্য পূর্ণবর্গ পদ্ধতি।
গণনা:
x2 + 4y2 + 2x + 1 = 0
⇒ (x2 + 2x + 1) + 4y2 = 0
⇒ (x + 1)2 + 4y2 = 0
যেহেতু (x + 1)2 ≥ 0 এবং 4y2 ≥ 0, তাই একমাত্র সমাধান হল:
⇒ (x + 1)2 = 0
⇒ x + 1 = 0
⇒ x = -1
এবং
⇒ 4y2 = 0
⇒ y = 0
এখন, x39 + y36 নির্ণয় করো:
⇒ (-1)39 + 036
⇒ -1 + 0
⇒ -1
∴ সঠিক উত্তর হল বিকল্প (2)।
Last updated on Jun 16, 2025
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