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Mathematics
Mathematics
Problem
If the fractional part of
1
x
\frac{1}{x}
x
1
and
x
2
x^2
x
2
for some
x
∈
(
2
,
3
)
x \in (\sqrt{2}, \sqrt{3})
x
∈
(
2
,
3
)
are equal, then find the value of
x
4
−
3
x
x^4 - \frac{3}{x}
x
4
−
x
3
.
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