I found the solutions a = 2, b = 0, c = 0, d = 3 to this system of equations...(adsbygoogle = window.adsbygoogle || []).push({});

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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Proving Solutions are Unique?

**Physics Forums | Science Articles, Homework Help, Discussion**