Question

The sum of the solution of the equation $2si{n}^{-1}\sqrt{x^2+x+1}+co{s}^{-1}\sqrt{x^2+x}=\frac{3\pi }{2}$ is

• A. $0$
• B. $-1$
• C. $1$
• D. $2$

Answer 1

The correct option is B $-1$

The given equation is true for $x=-1$ and $x=0$.
Thus the roots of the above expression is $0$ and $1$.
Therefore
Sum of roots will be
$0+(-1)$
$=-1$