Respuesta :
Answer:
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
x−4=±2
Set up the positive portion of the ± solution.
x−4=2
Move all terms not containing x to the right side of the equation.
Tap for more steps...
x=6
Set up the negative portion of the ± solution.
x−4=−2
Move all terms not containing x to the right side of the equation.
Tap for more steps...
x=2
The solution to the equation includes both the positive and negative portions of the solution.
x=6,2
Answer and Step-by-step explanation:
[tex]Hello!~[/tex]
[tex]Let's~answer~your~question![/tex]
[tex]For~this~equation,We~know~either:~x+4=2~or~x+4=-2[/tex]
[tex]There~are~2~possibilities~for~this~equation.[/tex]
Possibility - 1 :
[tex]x+4=2[/tex]
[tex]x+4-4=2-4~~~~~ (Subtract~4~from~both~sides)[/tex]
[tex]x=-2[/tex]
Possibility - 2 :
[tex]x+4=-2[/tex]
[tex]x+4-4=-2-4[/tex]
[tex]x=-6[/tex]
Answer:
[tex]x=-2 ~or ~x=-6[/tex]
