How do you solve #abs(x-3)=2#?
2 Answers
Mar 24, 2018
Explanation:
Mar 24, 2018
Explanation:
#"the expression inside the absolute value can be positive"#
#"or negative, thus there are 2 possible solutions"#
#color(blue)"Positive"#
#x-3=2rArrx=2+3=5#
#color(blue)"Negative"#
#color(red)(-)(x-3)=2larrcolor(blue)"distribute"#
#-x+3=2#
#rArr-x=2-3=-1rArrx=1#
#color(blue)"As a check"#
#x=5to|5-3|=|2|=2larrcolor(blue)"True"#
#x=1to|1-3|=|-2|=2larrcolor(blue)"True"#
#rArrx=5" or "x=1" are the solutions"#