Ask Question
9 January, 16:12

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 have the following solution sets: Two solutions: x=-2, x=-32.

+4
Answers (1)
  1. 9 January, 16:16
    0
    |x + 17| = 15

    Step-by-step explanation:

    The absolute value equation ...

    |x - b| = c

    can be rewritten as two equations:

    x - b = - c

    x - b = c

    The solution to the first is x = b - c.

    The solution to the second is x = b + c.

    __

    The first solution is the smaller of the two, so we have ...

    b - c = - 32

    b + c = - 2

    Adding these two equations gives ...

    2b = - 34 ⇒ b = - 17

    Subtracting the first equation from the second gives ...

    2c = 30 ⇒ c = 15

    The the equation you seek is ...

    |x + 17| = 15
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 have the ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers