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Jozsef Wildt International Math Competition
2009 Jozsef Wildt International Math Competition
W. 11
Find all real numbers m
Find all real numbers m
Source: 2009 Jozsef Wildt International Math Competition
April 17, 2020
Sets
number theory
Problem Statement
Find all real numbers
m
m
m
such that
1
−
m
2
m
∈
{
x
∣
m
2
x
4
+
3
m
x
3
+
2
x
2
+
x
=
1
∀
x
∈
R
}
\frac{1-m}{2m} \in \{x\ |\ m^2x^4+3mx^3+2x^2+x=1\ \forall \ x\in \mathbb{R} \}
2
m
1
−
m
∈
{
x
∣
m
2
x
4
+
3
m
x
3
+
2
x
2
+
x
=
1
∀
x
∈
R
}
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