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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
11.3
\sqrt{(x-2)^2(x-x^2)}<.. (IV Soros Olympiad 1997-98 Correspondence 11.3)
\sqrt{(x-2)^2(x-x^2)}<.. (IV Soros Olympiad 1997-98 Correspondence 11.3)
Source:
June 1, 2024
algebra
inequalities
Radicals
Problem Statement
Solve the inequality
(
x
−
2
)
2
(
x
−
x
2
)
<
4
x
−
1
−
(
x
2
−
3
x
)
2
\sqrt{(x-2)^2(x-x^2)}<\sqrt{4x-1-(x^2-3x)^2}
(
x
−
2
)
2
(
x
−
x
2
)
<
4
x
−
1
−
(
x
2
−
3
x
)
2
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