Question
Download Solution PDFদুটি প্রদত্ত স্বাভাবিক সংখ্যার যোগফলের বর্গ হল 784, যেখানে প্রদত্ত দুটি সংখ্যার গুণফল হল 192, এই দুটি প্রদত্ত সংখ্যার বর্গের মধ্যে ধনাত্মক পার্থক্য নির্ণয় করুন৷
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFধরা যাক, সংখ্যাগুলি হল X এবং Y
প্রদত্ত:
(X + Y)2 = 784 এবং XY = 192
গণনা:
(X + Y)2 = 784 ⇒ (X + Y) = 28
⇒ X2 + Y2 + 2XY = 784
⇒ X2 + Y2 + 2 × 192 = 784
⇒ X2 + Y2 = 400
অতএব,
⇒ X2 + Y2 - 2XY = 400 - 2 × 192
⇒ X2 + Y2 - 2XY = 16
⇒ (X - Y)2 = 16
⇒ X - Y = 4
এখন,
X2 - Y2 = (X + Y)(X - Y)
⇒ 28 × 4 = 112
∴ সঠিক বিকল্পটি হল 4
Last updated on Jul 12, 2025
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