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Romania EGMO Team Selection Test
2022 Romania EGMO TST
P1
Romania EGMO TST 2022 Day 2 P1
Romania EGMO TST 2022 Day 2 P1
Source:
February 15, 2022
romania
EGMO
function
algebra
Problem Statement
Determine all functions
f
:
R
→
R
f:\mathbb{R}\to\mathbb{R}
f
:
R
→
R
such that all real numbers
x
x
x
and
y
y
y
satisfy
f
(
f
(
x
)
+
y
)
=
f
(
x
2
−
y
)
+
4
f
(
x
)
y
.
f(f(x)+y)=f(x^2-y)+4f(x)y.
f
(
f
(
x
)
+
y
)
=
f
(
x
2
−
y
)
+
4
f
(
x
)
y
.
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