If equation $x^{2} + a x + a + 1 = 0$ has integrals roots then sum of possible integral values of "a" is

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Solution

The correct option is C 4
$\begin{matrix} x^{2} + a x + a + 1 = 0 r o o t s {(x_{1}, x_{2})}_{2} - \frac{a \pm \sqrt{a^{2} - 4 a - 4}}{2} f o r i n t e g r a l r o o t s t h e r o o t s s h o u l d b e r e m o v e d s o, o n t r y i n g v a l u e o f a w e g e t - 1, a n d 5 s o, - 1 + 5 = 4 \end{matrix}$

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