How do you solve 5=|2x— 4|?

1 Answer
Feb 19, 2016

{-1/2 , 9/2}

Explanation:

Note: Whenever you have an absolute value equation, there is a possibility of 2 solutions.

Because, |x| = -x " " "or" " " x

Given : 5= |2x-4|

Step 1: Remove the absolute value sign, we will have TWO equation like this

a) 5 = 2x -4 " " " " "or" " " " b) -5 = 2x-4

Step 2: Solve each equation like this

a) " " 5 " = 2x -4

+4 " " +4
------

9 " " = 2x

9/2 = (2x)/2
x= 9/2

Try to solve for (b), and you should get x = -1/2

Answer: x = -1/2 ,9/2