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If $${x^4} + \frac{1}{{{x^4}}} = 14159,$$ then the value of $$x + \frac{1}{x}$$ is:
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& {x^4} + \frac{1}{{{x^4}}} = 14159 \cr
& {x^2} + \frac{1}{{{x^2}}} = \sqrt {14159 + 2} \cr
& {x^2} + \frac{1}{{{x^2}}} = 119 \cr
& x + \frac{1}{x} = \sqrt {119 + 2} \cr
& x + \frac{1}{x} = 11 \cr} $$
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