Given x-1/x = 1, x^2+1/x^2 = sqrt(5). Find x^3+1/x^3

Question
x-1/x = 1
x^2+1/x^2 = sqrt(5)
Find x^3+1/x^3

Answer
This question is wrong. If you square the first equation on both sides, you will get x^2 + 1/x^2 = 3 , which contradicts the second equation.

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