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

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

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

`|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)`

5 views Answered 2023-02-05 15:29

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