Re: help with polynomial solutions

*To*: mathgroup at smc.vnet.net*Subject*: [mg81798] Re: [mg81704] help with polynomial solutions*From*: DrMajorBob <drmajorbob at bigfoot.com>*Date*: Wed, 3 Oct 2007 06:15:39 -0400 (EDT)*References*: <29790196.1191389340333.JavaMail.root@m35>*Reply-to*: drmajorbob at bigfoot.com

SolveAlways[a x^2 + b x + c == x^2, x] {{a -> 1, b -> 0, c -> 0}} Bobby On Tue, 02 Oct 2007 04:28:51 -0500, Jules P. Aronson <aronson at nlm.nih.gov> wrote: > 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. > > -- DrMajorBob at bigfoot.com