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[wes]

Substitute x=m^3 into the given equation: x^2–x–2=0, which has roots x=(1±3)/2=2 or –1
For m^3=2, m=∛2 and m=∛2(–1±i√3)/2
For m^3=–1, m=–1 and m=(1±i√3)/2

[michaelnaretto]

I wonder how this applies to anything in the real world...