Question
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Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
x2 + (1/x2) = 7
பயன்படுத்தப்படும் சூத்திரம்:
x2 + (1/x2) = P
பிறகு x + (1/x) = √(P + 2)
மற்றும் x - (1/x) = √(P - 2)
⇒ x2 - (1/x2) = {x + (1/x)} × {x - (1/x)}
கணக்கீடு:
x2 + (1/x2) = 7
⇒ x + (1/x) = √(7 + 2) = √9
⇒ x + (1/x) = 3
⇒ x - (1/x) = √(7 - 2)
⇒ x - (1/x) = - √5 {0
x2 - (1/x2) = {x + (1/x)} × {x - (1/x)}
⇒ 3 × (- √5)
∴ சரியான பதில் - 3√5.
Mistake Points
தயவுசெய்து குறிப்பிடவும்
0
அதனால்
1/x > 1
அதனால்
x + 1/x > 1
மற்றும்
x - 1/x 1 எனவே x - 1/x
அதனால்,
(x - 1/x)(x + 1/x)
Last updated on Jul 17, 2025
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