Bill Page wrote:
>> I find quite important to get a right reponse to
>> solve (a^2*x+1=x+a, x) with 3 cases a=1, a=-1 and else.
>>
>> Usual cas reponse x=(a-1)/(a^2-1)=1/(a+1) is irrelavant, but mupad
>> (now scilab) could do it.
>>
Mupad get directly theses 3 lines,
I don't have any mupad at home, only at work...
{1/(a+1)} for a <> 1 and a <> -1
emptyset for a=-1
C for a=1
This reponse illustrates the difference between the only one algebraic
solve in Q(a) and the not-so-algebraic-but-elementry-mathematics solves
for all the possible a. The trap of this exemple is around the unseen
case a=1 in the simplified reponse. The axiom/maple solve gives
x=1/(a+1), and x=1/2 only if a=1.
Today only? mupad gives the right solution.
François
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