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2023 Moldova EGMO TST
9
\left[\frac{x^2+1}{x}\right]-\left[\frac{x}{x^2+1}\right]=3
\left[\frac{x^2+1}{x}\right]-\left[\frac{x}{x^2+1}\right]=3
Source: Moldova EGMO TST 2023
February 4, 2023
number theory
Problem Statement
Solve the equation
[
x
2
+
1
x
]
−
[
x
x
2
+
1
]
=
3.
\left[\frac{x^2+1}{x}\right]-\left[\frac{x}{x^2+1}\right]=3.
[
x
x
2
+
1
]
−
[
x
2
+
1
x
]
=
3.
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