The sum of squares of two number is 80 and the squre of difference between the two number is 36. Find the product of two number.

Created: 6 months ago | Updated: 1 week ago
Job Solution বুয়েট ও অন্যান্য পরীক্ষা বাখরাবাদ গ্যাস ডিস্ট্রিবিউশন কোম্পানী লিমিটেড (BGDCL) || সহকারী প্রকৌশলী (মেকানিক্যাল, সিভিল, কম্পিউটার ও ইলেকট্রিক্যাল) (15-03-2024) গণিত
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Let the number be a and b.
Then, a2 + b2 = 80
and (a - b)2= 36
⇒ a2 + b2 - 2ab = 36
⇒ 2ab = (a2 + b2)-36
= 80 - 36= 44
∴ Product = ab = 22

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