Solve absolute value equation or indicate the equation has no

William Boggs

William Boggs

Answered question

2021-12-09

Solve absolute value equation or indicate the equation has no solution.
|x-2|=7

Answer & Explanation

Cleveland Walters

Cleveland Walters

Beginner2021-12-10Added 40 answers

Step 1
Given that:
|x-2|=7
To apply absolute rule,
if, |u|=a, a>0
Then, u=a or u=-a
Step 2
|x-2|=7
x-2=7 or x-2=-7
x-2=7
x=7+2
x=9
and
x-2=-7
x=-7+2
x=-5
Hence,
x=-5, 9

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