Difference between revisions of "2015 IMO Problems/Problem 5"
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<math>f(x+f(x+y))+f(xy) = x+f(x+y)+yf(x)</math> | <math>f(x+f(x+y))+f(xy) = x+f(x+y)+yf(x)</math> | ||
for all real numbers <math>x</math> and <math>y</math>. | for all real numbers <math>x</math> and <math>y</math>. | ||
+ | Proposed by Dorlir Ahmeti, Albania |
Revision as of 16:00, 4 April 2016
Let be the set of real numbers. Determine all functions
:
satisfying the equation
for all real numbers
and
.
Proposed by Dorlir Ahmeti, Albania