Write and absolute value equation that has the given solutions

inlays85k5

inlays85k5

Answered question

2021-11-16

Write and absolute value equation that has the given solutions of x=3 and x=9

Answer & Explanation

Parminquale

Parminquale

Beginner2021-11-17Added 17 answers

|x+a|=|x+a|
As given in the question x=3 or x=9, replace first x by 3 and the other x by 9
|3+a|=|9+a|
3+a=(9+a)
3+a=9a Solving for a
2a=12
a=122
a=6
now, |x+a|=|36|=|3|=3
|x+a|=|96|=|3|=3
Therefore, the answer is |x6|=3

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