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Re: help with polynomial solutions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg81781] Re: help with polynomial solutions
  • From: "David Park" <djmpark at comcast.net>
  • Date: Wed, 3 Oct 2007 02:36:39 -0400 (EDT)
  • References: <fdt3dv$rqj$1@smc.vnet.net>

You could use CoefficientList first and then Solve.

a x^2 + b x + c == x^2
First[%] - Last[%] == 0
MapAt[CoefficientList[#, x] &, %, 1] // Thread
Sort@First@Solve[%, {a, b, c}]


-- 
David Park
djmpark at comcast.net
http://home.comcast.net/~djmpark/


"Jules P. Aronson" <aronson at nlm.nih.gov> wrote in message 
news:fdt3dv$rqj$1 at smc.vnet.net...
>I could not get mathematica to solve the following class of problems.
>
> If f(x) and g(x) and two polynomials then a solution to force f(x) to be
> equal to g(x) is the equate the coefficients of f(x) to be the same as
> those of g(x).  For example,
>
> a x^2 + b x + c  == x^2, has a solution, a=1, b=0, c=0.
>
> If I do the following in mathematica:
>
> Solve[a x^2 + b x + c == x^2, {a,b,c}] or using Reduce, I do not get the
> desired solution.
>
> Can someone tell how to force mathematica to solve such problems.
> 



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