SOLUTION: if x-squared+x+1=0, what is the value of x-cubed+ 1 over x-cubed? please give information on how to solve

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Question 603031: if x-squared+x+1=0, what is the value of x-cubed+ 1 over x-cubed? please give information on how to solve
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
After doing the math, I found the value of x to be twofold: -1 + sqrt{3}i/2 and
x = -1 - sqrt{3}i/2.
Now, replace x in the expression x^3 + 1/x^3 and simplify.