How do you solve abs(2x-3)=5?
2 Answers
Explanation:
As explained below:
Step 1: Clear the absolute value bars
For negative part, lets use
For positive part, lets use
Step 2: Solve the negative part
Step 3: Solve the positive part
So values of x are
Explanation:
"the expression inside the absolute value can be positive"
"or negative"
color(magenta)"positive expression"
2x-3=5rArr2x=5+3=8rArrx=4
color(magenta)"negative expression"
-(2x-3)=5
-2x+3=5
-2x=5-3=2
x=2/(-2)=-1
color(blue)"As a check" Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x=-1
|-2-3|=|-5|=5
x=4
|8-3|=|5|=5
x=-1" or "x=4" are the solutions"