Question 215184This question is from textbook Intermediate Algebra
: 1. Solve | x – 9 | = | x + 6 |.
(absolute-value equation and inequalities)
This question is from textbook Intermediate Algebra
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! [x-9]=[x+6]
.
+(x-9) =+(x+6),,,,x-9=x+6,,,,no solution
.
-(x-9) = -(x+6) ,,,,,9-x = -6-x,,,,,no solution
.
+(x-9) = -(x+6),,,,x-9=-x-6,,,,2x=3,,,,,,x=1.5
.
.,,,,,,,,,,check[1.5-9] = [1.5+6],,,,,7.5 = 7.5,,,,ok
.
-(x-9) = +(x+6),,,,,-x+9=x+6,,,-2x =-3,,,,x=1.5,,,,,,dupl answer
.
Therefore x=1.5
.
|
|
|
