2 years ago
Solve absolute value equation or indicate the equation has no solution.
|x-2|=7
1 Answers
Best Answer
wnelmsjr Staff answered 2 years ago
wnelmsjr Staff answered 2 years ago
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
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