How do you solve |x+4|=6 ?

Patricia Crane 2021-12-18 Answered
How do you solve |x+4|=6 ?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Linda Birchfield
Answered 2021-12-19 Author has 39 answers
The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
Solution:
x+4=6
x+44=64
x+0=10
x=10
Solution 2
x+4=6
x+44=64
x+0=2
x=2
The solutions Are: x=10 and x=2
Not exactly what you’re looking for?
Ask My Question
Toni Scott
Answered 2021-12-20 Author has 32 answers
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x
x+4=±6
Set up the positive portion of the ± solution
x+4=6
Move all terms not containing x to the right side of the equation.
x=2
Set up the negative portion of the ± solution.
x+4=6
Move all terms not containing x to the right side of the equation.
x=10
The solution to the equation includes both the positive and negative portions of the solution.
x=2,10
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more