solving a system

• Subject: solving a system
• From: Gosse michel
• Date: Fri, 10 Dec 2010 22:48:49 +0100

Hello

With :
(%i1) f(x):=a+k/(x-b);
e1:f(-2)=-1;
e2:f(1)=-1;
e3:f(2)=5/2;
solve([e1,e2,e3],[a,b,k]);
(%o1) f(x):=a+k/(x-b)
(%o2) k/(-b-2)+a=-1
(%o3) k/(1-b)+a=-1
(%o4) k/(2-b)+a=5/2
(%o5) [[a=-1,b=2,k=0]]
it seems it's a bug, because f(x)=-1 is clearly not a solution.
The solution is good with f(-2)=1

Maxima 5.20.1

Best regards

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