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Sagot :
Answer
The vaalues of x are -3/2 and -11/4
Step-by-step explanation:
Given the following equation
|x -1| = 5x + 10
Note: |x - 1 | is an absolute value
An absolute value can either be positive or negative
Hence, |x - 1 | can be -(x - 1) or (x - 1)
-(x - 1) = 5x + 10
open the parenthesis
-x + 1 = 5x + 10
collect the like terms
-x - 5x = 10 - 1
-6x = 9
isolate x
x = 9/-6
x = -3/2
(x - 1) = 5x + 10
open the parenthesi
x - 1 = 5x + 10
collect the like terms
x - 5x = 10 + 1
-4x = 11
isolate x
x = -11/4
Therefore, the value of x are -3/2 and -11/4
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