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

2 Answers
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

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