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Arithmetic Aptitude :: Simplification

3. If (x + 1/x)^2 = 3 then (x^3+1/x^3) is equal to

Answer: Option D

Explanation :

(x + 1/x)^2 = 3 => (x + 1/x) = √3
Now (x^3+1/x^3) = (x+1/x)^3-3x*1/x(x+1/x)
=> ( √3)^2 -3?3) = (3√3-3√3) = 0

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