Question
Download Solution PDF\(\rm \left(x+\frac{1}{x}\right)=10\) எனில் \(\rm \left(x^4+\frac{1}{x^4}\right)\)இன் மதிப்பு என்ன?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டுள்ள மதிப்பு:
\(\rm \left(x+\frac{1}{x}\right)=10\)
பயன்படுத்தப்பட்டுள்ள சூத்திரம்:
(x + 1/x) = P எனில்
(x2 + 1/x2) = P2 - 2
கணக்கீடு:
⇒ (x + 1/x) = 10
⇒ (x2 + 1/x2) = 102 - 2
⇒ (x2 + 1/x2) = (100 - 2) = 98
⇒ (x4 + 1/x4) = (98)2 - 2
⇒ (x4 + 1/x4) = 9604 - 2 = 9602
∴ எனவே 9602 என்பதே சரியான விடை.
Last updated on Jul 16, 2025
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