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Mathematics
Mathematics
Problem
Let
[
x
]
[x]
[
x
]
denotes the greatest integer less than or equal to
x
x
x
. If number of positive integral solutions of the equation
[
x
[
x
2
]
]
=
[
x
[
1
+
1
2
]
]
\left[ \frac{x}{[x^2]} \right] = \left[ \frac{x}{[1+\frac{1}{2}]} \right]
[
[
x
2
]
x
]
=
[
[
1
+
2
1
]
x
]
is
n
n
n
, then find the integral values of
x
x
x
of
n
n
n
.
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