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If $x^{4} + 1/ x^{4} = 119$ and $x$ > 1, find the value of $x^{3} - 1/ x^{3}$ .

Competition practiceAlgebra

A36
B18
C27
D30

Step-by-Step Solution

x^{2} + \frac{1}{x ^{2}} = 119 + 2 = 11

;

x - \frac{1}{x} = 11 - 2 = 3. x^{3} - \frac{1}{x ^{3}} = 27 + 3 \times 3 = 36

.

Answer: A) 36

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