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26 February, 05:44

Solve the equation

3|2x-1|+2=17

+3
Answers (1)
  1. 26 February, 08:08
    0
    the solutions are {-2, 3}

    Step-by-step explanation:

    First combine the constants 2 and 17:

    3|2x-1|+2=17 = > 3|2x - 1| = 15

    Next, divide both sides by 3. We get:

    3|2x - 1| = 15 = > |2x - 1| = 5

    We want to solve for x, so divide all three terms by 2 as follows:

    |x - 1/2| = 5/2

    This equation has two solutions. We regard 1/2 as the "center." The equation tells us that x is either 5/2 greater than this 1/2 or 5/2 smaller:

    x = 1/2 + 5/2 = 6/2, or x = 3

    and:

    x = 1/2 - 5/2 = - 4/2 = - 2

    Thus, the solutions are {-2, 3}
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