Where x is an element of integers, show that for x=x^2 that 0 or 1 are the only solutions to this equation. I have shown that 0 and 1 are solutions to this, but I am trying to show that no other solutions are possible. My plan was to show that no negative number could be a solution to this problem because two negatives would make a positive and this could never equal a negative number. And I also showed that for any number greater than 1 that this equation could never be true because the right hand side would always be greater. I am having trouble doing this expressing the first five axioms, or if it is not possible to prove this with the first five, then maybe the first 6. I am not sure how to account for greater than or less than relations yet. Thanks for reading this whole thing.(adsbygoogle = window.adsbygoogle || []).push({});

**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!

# Another proof I have a question about

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