Question
Download Solution PDFIf x + \(\rm \frac{1}{x}=8\), then find the value of \(\rm \frac{5}{x^2-8x+2}\).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
x + \(\rm \frac{1}{x}=8\)
Calculation:
x + \(\rm \frac{1}{x}=8\)
⇒ x2 + 1 = 8x
⇒ x2 - 8x = - 1
Now,
\(\rm \frac{5}{x^2-8x+2}\) = \(\rm \frac{5}{-1\,+\,2}\)
⇒ 5
∴ The required answer is 5.
Last updated on Jul 12, 2025
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