Question
Download Solution PDFx + y = 10 மற்றும் xy = 12 எனில், x2 - xy + y2 இன் மதிப்பைக் காண்க.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
x + y = 10 மற்றும் xy = 12
பயன்படுத்தப்பட்ட சூத்திரம்:
(x + y)2 = x2 + 2xy + y2
கணக்கீடுகள்:
(x + y)2 = x2 + 2xy + y2
⇒ 102 = x2 + 2xy + y2
⇒ 100 = x2 + 2(12) + y2
⇒ 100 = x2 + 24 + y2
⇒ x2 + y2 = 100 - 24
⇒ x2 + y2 = 76
நாம் x2 - xy + y2 ஐக் கண்டுபிடிக்க வேண்டும்
⇒ x2 - xy + y2 = 76 - 12
⇒ x2 - xy + y2 = 64
∴ சரியான விடை விருப்பம் (3).
Last updated on Jun 3, 2025
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