Question
Download Solution PDF(a + b)2 = 36 மற்றும் ab = 8 எனில், (a – b)2 இன் மதிப்பைக் கண்டறியவும்.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது :
(a + b)2 = 36 மற்றும் ab = 8
சூத்திரம்:
(a + b)2 - (a – b)2 = 4ab
கணக்கீடு:
(a + b)2 - (a – b)2 = 4ab
⇒ 36 – (a – b)2 = 4ab
⇒ (a – b)2 = 36 – 32
⇒ (a – b)2 = 4.
முறை 2
(a + b)2 = 36
⇒ a2 + b2 + 2ab = 36
⇒ a2 + b2 + 2 × 8 = 36
⇒ a2 + b2 = 20 ---- (1)
இப்போது, (a - b)2 = a2 + b2 - 2ab = 20 - 2 × 8 = 20 - 16 = 4.
எளிய முறை தந்திரம்
a = 4 மற்றும் b = 2 எனக் கொள்க [(a + b)2 = (4 + 2)2 = 62 = 36 மற்றும் ab = 4 × 2 = 8]
(a – b)2 = (4 – 2)2 = 22 = 4.
∴ சரியான பதில் 4 ஆகும்.
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