Question
Download Solution PDFa2 - b2 = 88, a - b = 4 எனில், ab என்பதன் மதிப்பு.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டுள்ளது:
a2 - b2 = 88
a - b = 4
பயன்படுத்தப்பட்ட கோட்பாடு:
a2 - b2 = (a - b)(a + b)
கணக்கீடு:
a - b = 4 ----(1)
(a - b)(a + b) = 88
⇒ 4 × (a + b) = 88
⇒ a + b = 88/4
⇒ a + b = 22 ----(2)
சமன்பாடு (1) மற்றும் (2)-ஐ , கூட்டினால், நமக்கு கிடைப்பது
⇒ a - b + a + b = 4 + 22
2a = 26
⇒ a = 13
சமன்பாடு (2)-இல் a மதிப்பை இட்டால், நமக்கு கிடைப்பது
13 + b = 22
⇒ b = 9
ab என்பதன் மதிப்பு = 13 × 9
⇒ ab = 117
∴ ab என்பதன் மதிப்பு 117 ஆகும்.
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