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Find the values of a for which the equat...

Find the values of `a` for which the equation `||x-2|+a|=4` can have four distinct real solutions.

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`|x-2|+ a= pm 4`
`rArr |x-2|= pm 4-a `
For four real roots `4-a lt 0 and -4-a lt 0`
`rArr a in (-oo,-4)`
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