464,071 views
9 votes
9 votes
"Write an absolute value equation that has the given solution."

x=8 and x=18
I have no clue at all on what to do.Lol

User Tuomas Toivonen
by
2.7k points

2 Answers

20 votes
20 votes

average of 18 and 8

  • 18+8/2
  • 26/2
  • 13/2

The function is

  • |x-5|=13

As

13-5=8

13+5=18

User Jack Nock
by
2.4k points
17 votes
17 votes

Answer:

  • |x - 13| = 5

Explanation:

When you have the solutions to absolute value equation which are a and b, the equation will look like this:

  • |x - (midpoint of a and b)| = 1/2(range of a and b)

If we apply this provided a = 8, b = 18 we get:

  • Midpoint of 8 and 18 = 13
  • Range of 8 and 18 = 10

The the equation is:

  • |x - 13| = 10/2

or

  • |x - 13| = 5
User Fabien Thetis
by
2.9k points