Question
Download Solution PDFIf (x2 + \(\frac{1}{x^2}\)) = 18, and x > 0, what is the value of (x3 + \(\frac{1}{x^3}\))?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
x2 + 1 / x2 = 18
(X + 1 / X)2 = 18 +2
= 20
x+1/x = 2√5
(x3 + \(\frac{1}{x^3}\)) = (x+1/x)3 - 3 (x+1/x)
⇒ 40√5 - 6√5
= 34\(\sqrt5\)
∴ The correct option is 4
Last updated on Jun 13, 2025
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