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31 March, 17:29

Which are steps that could be used to solve 0 = 9 (x2 + 6x) - 18 by completing the square? Check all that apply.

18 + 81 = 9 (x2 + 6x + 9)

18 + 9 = 9 (x2 + 6x + 9)

18 + 36 = 9 (x2 + 6x + 36)

11 = (x + 3) 2

square root 342 = (x + 6) 2

square root 99 = (x + 3) 2

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Answers (2)
  1. 31 March, 18:12
    0
    The correct answers are:

    A) 18+81=9 (x^2+6x+9)

    D) 11 + (x+3) ^2
  2. 31 March, 20:44
    0
    Answer: To solve this by completing the square, we want to get it to the form of: (x + 3) ^2 = 9

    There are multiple ways to get there.

    First we could divide by 9 to get.

    x^2 + 6x = 0

    Then, add 9 to both sides to get:

    x^2 + 6x + 9 = 9

    Factor the left side:

    (x + 3) ^2 = 9

    Now, you can solve this equation by completing the square.

    (*I think you have a typo in your answer choices)
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