- #1

FeDeX_LaTeX

Gold Member

- 437

- 13

ab + c + d = 3

bc + d + a = 5

cd + a + b = 2

da + b + c = 6

But I don't know how to justify that those are the only solutions to this system, since it is non-linear. How can I prove that those are the only solutions? (Note: I'm not sure if those ARE the only solutions -- I just can't find any more.)

Thanks.