Question
Download Solution PDF\(x - \frac{1}{x} = 10\), అప్పుడు \(\left( {x + \frac{1}{x}} \right)\) దేనికి సమానం
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఉపయోగించిన సూత్రం:
(a - b)2 = a2 + b2 - 2ab
లెక్కింపు
x - 1/x = 10
ఇరువైపులా మూలాలు చేయడం
⇒ (x - 1/x)2 = 100
⇒ x2 + 1/x2 - 2 = 100
⇒ x2 + 1/x2 = 102
ఇప్పుడు, (x + 1/x)2 = x2 + 1/x2 + 2
⇒ (x + 1/x)2 = 102 + 2
⇒ (x + 1/x) = √104
⇒ (x + 1/x) = 2√26
Last updated on Jun 16, 2025
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