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"#