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2001 Austria Beginners' Competition
3
(x-1)^2(x-4)^2<(x-2)^2
(x-1)^2(x-4)^2<(x-2)^2
Source: 2001 Austria Beginners' Competition p3
October 4, 2022
algebra
inequalities
Problem Statement
Find all real numbers
x
x
x
such that
(
x
−
1
)
2
(
x
−
4
)
2
<
(
x
−
2
)
2
(x-1)^2(x-4)^2<(x-2)^2
(
x
−
1
)
2
(
x
−
4
)
2
<
(
x
−
2
)
2
.
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