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6
Easy function (I guess)
Easy function (I guess)
Source:
February 21, 2016
function
algebra
Problem Statement
Find all functions
f
:
R
→
R
f:\mathbb R \to \mathbb R
f
:
R
→
R
Such that for all real
x
,
y
x,y
x
,
y
:
(
x
2
+
x
y
+
y
2
)
(
f
(
x
)
−
f
(
y
)
)
=
f
(
x
3
)
−
f
(
y
3
)
(x^2+xy+y^2)(f(x)-f(y))=f(x^3)-f(y^3)
(
x
2
+
x
y
+
y
2
)
(
f
(
x
)
−
f
(
y
))
=
f
(
x
3
)
−
f
(
y
3
)
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