Answer:
123
Step-by-step explanation:
If x+(1/x)=3 then
x^2 + 2 + (1/x^2) = 9, or
x^2 + (1/x^2) = 7, or
[x+(1/x)]*[x^2 + (1/x^2)] = 3*7 = 21, or
x^3 + (1/x) + x + (1/x^3) =21, or
x^3 + (1/x^3) = 21–3 = 18
[x^2 + (1/x^2)]*[x^3 + (1/x^3)] = 7*18 = 126, or
x^5 + (1/x) + x + 1/(x^5) = 126, or
x^5 + 1/(x^5) + 3 = 126, or
x^5 + 1/(x^5) = 123.
