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If the equation $x^{2} + 2 | a | x + 4 = 0$ has integral roots, then. the minimum value of a is

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$- \frac{5}{2}$

-1

answer is A.

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Detailed Solution

Here, $α + β = - 2 |a|$ and $α β = 4 as α_{1} β \in$ Integer

$∴$ $α = 4, β = 1 or α = 1, β = 4$

or $α = 2, β = 2$

$∴$ Minimum value of $a = - \frac{5}{2}$

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