Which of the following is the value of x in the equation below

x= -4/3 or x=2
x= -1 or x=2
x =-2 or x= 1
x= -3/2 or x= 1/2
Correct Answer : A
we find the value of x by applying the absolute conditions to the given equation.
First, add 2 to both sides of equation

Add 10 to both sides of the equation

Next, we apply the absolute rule:
If u=a
, a>0, then u=a or u=-a
In this case a=5, which is greater 0.
The first condition becomes

Solving for x

The second condition becomes

Solving for x


Then, the value of x is -4/3 or 2.
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