Question

The sum of integral values of $\alpha$ for which the equation $\left(x+\alpha \right)\left(x+1991\right)+1=0$ has integral roots is/are

• A. $1989$
• B. $1997$
• C. $3982$
• D. none of these

Answer 1

Answer: (C)

$\left(x+\alpha \right)=1$ and $x+1999=-1\Rightarrow \alpha =1993$
$x+\alpha =-1$ and $x+1991=1,\alpha =1989$
Sum $=1993+1989$