Question

Solve the following Absolute Value Equation. Type the 2 solutions in the

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

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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