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DaniilM [7]
3 years ago
13

Write the absolute value equations in the form |x−b|=c (where b is a number and c can be either number or (an expression) that h

ave the following solution sets:
Two Solutions: x=2, x=14
Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

Answer:

  • |x − 8| = 6

Step-by-step explanation:

  • |x − b| = c
  • 1. x - b = c ⇒ x = b + c
  • 2. x - b = -c ⇒ x = b - c

<u>We have solution:</u>

  • b + c = 14
  • b - c = 2

<u>Add up these two equations:</u>

  • 2b = 16
  • b = 8

<u>Find c:</u>

  • c = 8 - 2 = 6

<u>The original equation is:</u>

  • |x − 8| = 6
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