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help with polynomial solutions
*To*: mathgroup at smc.vnet.net
*Subject*: [mg81704] help with polynomial solutions
*From*: "Jules P. Aronson" <aronson at nlm.nih.gov>
*Date*: Tue, 2 Oct 2007 05:28:51 -0400 (EDT)
*Reply-to*: aronson at nlm.nih.gov
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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