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Problem
Problem
The number of integral values of
x
x
x
satisfying the equation
sgn
(
15
1
+
x
2
)
=
[
1
+
{
2
x
}
]
\operatorname{sgn}\left(\frac{15}{1+x^2}\right) = [1 + \{2x\}]
sgn
(
1
+
x
2
15
)
=
[
1
+
{
2
x
}]
is [Note:
sgn
(
y
)
\operatorname{sgn}(y)
sgn
(
y
)
,
[
y
]
[y]
[
y
]
and
{
y
}
\{y\}
{
y
}
denote signum function, greatest integer function and fractional part function respectively]
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