posted by Manny .
I was wondering how I would even start to solve a problem like this.
Solve for x1, x2, x3, and x4:
I took a crack at it but did not get far.
I also have spent an unreasonable amount of time trying it.
I even went so far as to run an old-fashioned 1970ish BASIC program
10 FOR A = -25 TO 35
20 FOR B = -25 TO 35
30 FOR C = -25 TO 35
40 FOR D = -25 TO 35
50 IF ((A*B+A+B=514) AND (B*C+B+C=146) AND (C*D+C+D=104)) THEN PRINT A,B,C,D
60 NEXT D
70 NEXT C
80 NEXT B
90 NEXT A
It found no integer solutions to your problem in the domain from -25 to + 35
I used A,B,C, and D for your variables