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I need to find an exact root

I am having trouble finding the exact root of x^3+x-1.....I can figure out that the exact root of x^2-x-1= 0 is x= 1+/- the square root of 5 divided by two...but the other has me stumped!!!! Please help!!

Solution Preview

If you rearrange the expression and factor out an x it looks like this...

X(X^2 +1) = 1

I'm ...