Question
Download Solution PDFIf \(\frac{x}{8} + \frac{8}{x} = 1\), then the value of x3 is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\frac{x}{8} + \frac{8}{x} = 1\)
Concept used:
a3 + b3 = (a + b)(a2 - ab + b2)
Calculation:
\(\frac{x}{8} + \frac{8}{x} = 1\)
⇒ \(\frac {x^2 + 64}{8x} = 1\)
⇒ (x2 - 8x + 64) = 0
⇒ (x + 8)(x2 - 8x + 64) = 0 × (x + 8)
⇒ (x3 + 83) = 0
⇒ x3 = -512
∴ The value of x3 is -512.
Last updated on Jun 13, 2025
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