Question

Hi:

I was wondering how I would even start to solve a problem like this.

Solve for x1, x2, x3, and x4:

x1x2+x1+x2=524
x2x3+x2+x3=146
x3x4+x3+x4=104


Thanks,
Manny

Answer 1

I took a crack at it but did not get far.

Answer 2

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
X1,X2,....