Question
Download Solution PDFIf x - \(\frac{1}{x}\) = 4, then the value of x3 - \(\frac{1}{x^3}\) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
If x - (1/x) = 4
Formula used:
x3 - (1/x3) = (x - (1/x))3 + 3(x - (1/x))
Calculation:
x - (1/x) = 4
⇒ x3 - (1/x3) = (4)3 + 3 × (4)
⇒ x3 - (1/x3) = 64 + 12
⇒ x3 - (1/x3) = 76
∴ The correct answer is option (2)
Last updated on Jul 10, 2025
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