Cubic equations with independent variables

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Discussion Overview

The discussion revolves around solving a specific cubic equation that involves independent variables, particularly focusing on the complexity introduced by a function M that depends on both x and t. The scope includes mathematical reasoning and problem-solving related to cubic equations.

Discussion Character

  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant presents a cubic equation and seeks assistance in solving it, noting that most variables depend on x, while M depends on both x and t.
  • Another participant points out that the original poster has previously posted the same question multiple times and suggests that the equation be rewritten in a clearer format for better understanding.
  • A different participant mentions an algorithm for finding the roots of cubic equations and inquires about the function p(x) related to the equation.

Areas of Agreement / Disagreement

The discussion shows some disagreement regarding the clarity of the equation presented, as one participant requests a clearer format. There is no consensus on how to approach the solution, as participants have not yet agreed on the specifics of the function p(x) or the implications of M's dependence on two variables.

Contextual Notes

The original equation is presented in a dense format, which may obscure understanding. Additionally, the relationship between the variables and the function M is not fully explored, leaving assumptions about its behavior unresolved.

omarxx84
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Hi colleages. can you help me to solve the cubic equation below:
2N(Ep-En)hp^3(x)-3[M(x,t)(Ep-En)-2NEnh]hp^2(x)-6Enh[M(x,t)+Nh]hp(x)+Enh^2[3M(x,t)+2Nh]=0 notice that all variables in the equation are dependent on x only, except M is dependent on x and t.
En, Ep, N and h are constants.
i know the solution when the equation dependent on one variable, but the problem is that M dependent on two variables x and t.
please help me and i will be very grateful for you...
 
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i am so sorry,
 
There is an algorithm for finding the roots of a cubic equation - see http://en.wikipedia.org/wiki/Cubic_equation. Using this algorithm might help you solve for the values of p(x) that are roots of your equation.

You haven't said anything about p(x). What information do you have about this function?
 

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