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2018-01-01 10:23:23 +0200 | commented answer | Getting all (complex) solutions of a non polynomial equation Thanks for this code. This solution also works for me ! |

2018-01-01 10:22:48 +0200 | commented answer | Getting all (complex) solutions of a non polynomial equation Thanks ! This command works but it doesn't give the list of roots, unlike the code of Emmanuel Charpentier. |

2017-12-27 10:45:08 +0200 | answered a question | Getting all (complex) solutions of a non polynomial equation Thank you very much ! The numerical resolution works perfectly ! But notice that you have forgotten "t^4" term in F definition. Then, the solving of the equation give 6 roots which are identical to the ones given by Mathematica. This suits me. However, for information, I would to mention that I've checked the following code on https://sagecell.sagemath.org/ : and I've got the following errors : |

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2017-12-26 17:55:10 +0200 | asked a question | Getting all (complex) solutions of a non polynomial equation Hi ! I was used to solve the following equation with Mathematica. \begin{equation} \alpha_1 + \alpha_2x + \alpha_3x^2 + x^4 + \frac{\alpha_4}{x^2-\alpha_0} + \frac{\alpha_5 x^2}{x^2-\alpha_0}=0 \end{equation} where $\alpha_i$ are constants. The Mathematica function "Solve" gives me all the numerical roots of this non polynomial equation very easily. These roots can be real or complex. I'm a very beginner at Sage. I have tried several methods to solve this equation automatically but it seems that all methods I've used work only for polynomial equations. Here they are : Do you have any idea of a method to get the approximated roots of the equation ? Thanks in advance EDIT : correction of an error in the equation ; add few tests |

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