IMO LONGLISTED PROBLEM 1972
-
- Posts:190
- Joined:Sat Apr 23, 2011 8:55 am
- Location:Khulna
Find all integer solutions of the equation $1+x+x^2+x^3+x^4=y^4$.
Re: IMO LONGLISTED PROBLEM 1972
Hint : Try to bound the limit of $x$ i.e. see when it lies between two consecutive squares.
One one thing is neutral in the universe, that is $0$.