The set of all $a \in \mathbb{R}$ for which the equation $x|x-1|+|x+2|+a=0$ has exactly one real root, is : - DASH

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Question

The set of all $a \in \mathbb{R}$ for which the equation $x|x-1|+|x+2|+a=0$ has exactly one real root, is :

$(-\infty, \infty)$

$(-6, \infty)$

$(-\infty,-3)$

$(-6,-3)$

Solution

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