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Mathematics
Mathematics
Problem
The number of real solutions of
tan
−
1
x
(
x
+
1
)
+
sin
−
1
x
2
+
x
+
1
=
π
/
2
\tan^{-1} \sqrt{x(x+1)} + \sin^{-1} \sqrt{x^2 + x + 1} = \pi/2
tan
−
1
x
(
x
+
1
)
+
sin
−
1
x
2
+
x
+
1
=
π
/2
is
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