Question
Download Solution PDFयदि (X - \(\rm \frac{1}{x}\)) = 6 है, और x > 0 है, तब (x2 - \(\rm \frac{1}{x^2}\)) का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है
x - 1/x = 6
प्रयुक्त सूत्र
x + 1/x = √ ((x - 1/x)2 + 4)
x2 - 1/x2 = (x - 1/x)(x + 1/x)
गणना:
x - 1/x = 6
x + 1/x = √ ((x - 1/x)2 + 4)
⇒ x + 1/x = √(40)
⇒ x + 1/x = 2√10
x2 - 1/x2 = (x - 1/x)(x + 1/x)
= 2√10 × 6
= 12√10
सही उत्तर 12√10 है।
Last updated on Jul 17, 2025
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