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I'm dealing with a central force problem (V(x) = k*x^3 potential) and I am stuck solving for x in the equation:

[tex]

A-Bx^3-\frac{C}{x^2}=0

[/tex]

Tried to do it using the symbolic toolbox in matlab but I get a "can't find closed form solution" error message. Anyone know the solution to the problem or how to obtain one?