It has no rational roots.  

You can only use technology or iterative means to find

the irrational root you found 3.763194021



and the two irrational complex roots:



.368403 ± 1.26156i



No doubt there was a typo in one of those coefficient.

Sometimes there are errors in books and computer material.



F(x) = 2x^3-9x^2+9x-3



Edwin 

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