Question
Download Solution PDFএকটি সংখ্যাকে যখন 7 দিয়ে ভাগ করা হয় তখন 4 অবশিষ্ট থাকে। একই সংখ্যার বর্গকে 7 দ্বারা ভাগ করলে কত অবশিষ্ট থাকবে?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
একটি সংখ্যাকে যখন 7 দিয়ে ভাগ করা হয় তখন 4 অবশিষ্ট থাকে
অনুসৃত ধারণা:
ভাজ্য = ভাজক × ভাগফল + ভাগশেষ
গণনা:
সংখ্যা এবং ভাগফলকে যথাক্রমে N এবং D ধরা যাক।
প্রশ্ন অনুযায়ী,
N = 7D + 4
⇒ N2 = (7D + 4)2
⇒ N2 = 49D2 + 56D + 16
⇒ N2 = 7(7D2 + 8D + 2) + 2
সুতরাং, 7(7D2 + 8D + 2) সম্পূর্ণরূপে 7 দ্বারা বিভাজ্য।
এখন, 2 অবশিষ্ট থাকে।
∴ ভাগশেষ হল 2
Last updated on Jun 25, 2025
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