Question 2
Find all functions $f:\mathbb R\to\mathbb R$ such that
$$f(x^2+f(y))=y+f(x)^2$$
for all $x,y\in\mathbb R$.
$$f(x^2+f(y))=y+f(x)^2$$
for all $x,y\in\mathbb R$.
IMO 1992 - Official contest problems Question 2
IMO · IMO 1992 - Official contest problems