Question

Solve the following Absolute Value Equation. Type the 2 solutions in the
given blanks. Be sure to order your answers from least to greatest. (Do not
use spaces)
1/4 |2x-6|+7=13

Answer 1

Answer:

  -9, 15

Step-by-step explanation:

Subtract 7 and multiply by 4

  1/4 |2x-6| +7 = 13

  1/4 |2x -6| = 6

  |2x -6| = 24

  2x -6 = ± 24

  2x = 6 ±24

  x = 3 ±12

  x = -9, 15

_____

For graphing purposes, it is often convenient to rewrite the equation so the solutions are where the function is zero. Here, we can do that by subtracting 13 from the equation.

  (1/4 |2x -6| +7) -13 = 0