Find how many solutions this ln polinomial equation has

  • Thread starter Thread starter transgalactic
  • Start date Start date
  • Tags Tags
    Ln
transgalactic
Messages
1,386
Reaction score
0
<br /> 2x^3lnx+x^2-4x+a=0<br />
i thought of building a taylor series around 0 for ln
but ln(0) is undefined

??
 
Physics news on Phys.org
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.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top