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India Contests
Regional Mathematical Olympiad
1997 India Regional Mathematical Olympiad
3
Gint
Gint
Source: Indian RMO 1997 Problem 3
October 26, 2005
inequalities
Problem Statement
Solve for real
x
x
x
:
1
[
x
]
+
1
[
2
x
]
=
x
−
[
x
]
+
1
3
.
\frac{1}{[x]} + \frac{1}{[2x]} = x - [x] + \frac{1}{3}.
[
x
]
1
+
[
2
x
]
1
=
x
−
[
x
]
+
3
1
.
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