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I subsequently learned that x=2+2^(2/3) +2 (1/3)
2+2^(2/3) +2 (1/3)
To factor this out completely is extremely difficult. It is easier to add the 3 terms, and to four decimal places it is 4.8474
4.8474^3-6[4.8474^2]+6(4.8474)=2.0014