How do you solve #|1- 2x | = 9#?

2 Answers
Monzur R.
Nov 26, 2016

#x=-4#
#x=5#

Explanation:

First square both sides of the equation and then root both sides

#|1-2x|=9#

#(1-2x)^2=81#

#+-(1-2x)=9#

Then we would just solve it using two different routes.

#1-2x=9#

#2x=-8#

#x=-4#

#-1+2x=9#

#2x=10#

#x=5#

Mia
Nov 26, 2016

#x=-4" " or" "x=5#

Explanation:

If #absa=b" "#then #" "a=+b" "ora=-b#
#" "#
#abs(1-2x)=9#
#" "#
#1-2x=9" " or " "1-2x=-9#
#" "#
#1-2x=9#
#" "#
#rArr-2x=9-1#
#" "#
#rArr-2x=8#
#" "#
#rArrx=-8/2=-4#
#" "#
Or
#" "#
#1-2x=-9#
#" "#
#rArr-2x=-9-1#
#" "#
#rArr-2x=-10#
#" "#
#rArrx=(-10)/(-2)#
#" "#
#rArrx=5#
#" "#
Hence, #" "x=-4" "or" "x=5#

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