MathDB
Problems
Contests
International Contests
Nordic
2008 Nordic
1
Nordic MC 2008 Q1
Nordic MC 2008 Q1
Source:
March 3, 2013
function
algebra unsolved
algebra
Problem Statement
Find all reals
A
,
B
,
C
A,B,C
A
,
B
,
C
such that there exists a real function
f
f
f
satisfying
f
(
x
+
f
(
y
)
)
=
A
x
+
B
y
+
C
f(x+f(y))= Ax+By+C
f
(
x
+
f
(
y
))
=
A
x
+
B
y
+
C
for all reals
x
,
y
x,y
x
,
y
.
Back to Problems
View on AoPS