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6 April, 19:36

Which of the following are solutions to the equation below? Check all that apply.

9x2 - 64 = 0

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Answers (2)
  1. 6 April, 19:43
    0
    8/3 and - 8/3
  2. 6 April, 21:53
    0
    x = 8/3 and x = - 8/3

    Step-by-step explanation:

    Remember the difference of two squares method

    a² - b² = (a+b) (a-b)

    Given;

    9x²-64=0

    We notice 9 and 64 are in square form thus can be written as

    (3x-8) (3x+8) ... applying the difference in squares method to simplify

    Solving for x

    (3x-8) (3x+8) = 0

    3x-8=0

    3x=8

    x = 8/3

    or

    3x+8=0

    x = - 8/3
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