2024 USAJMO Problems/Problem 5
Contents
Problem
Find all functions 
that satisfy
![\[f(x^2-y)+2yf(x)=f(f(x))+f(y)\]](http://latex.artofproblemsolving.com/4/b/d/4bdeaa49c29c972b00378da74fa56558da3d543e.png)
for all 
.
Solution 1
See Also
| 2024 USAJMO (Problems • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAJMO Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
