Find how many solutions this ln polinomial equation has

[tex]
2x^3lnx+x^2-4x+a=0
[/tex]
i thought of building a taylor series around 0 for ln
but ln(0) is undefined

??
 
316
2
I would find how many max min it has then knowing the each max min position I can determine the number of solutions.
Take care of the x= 0 too.
 

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