Find the real solution of the equation <BR>$\tan^{-1}\sqrt{x(x+1)}+\sin^{-1}\sqrt{x^2+x+1}=\frac{\pi}{2}$

Question

$\begin{array}{1 1} x=0\;or\;1 \\ x=0\;or\;-1 \\ x=1\;or\;-1\\ \text{Solution does not exist} \end{array} $