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6 January, 16:02

Which of the following are solutions to the equation below? Check all that apply. 9x^2-64=0

A. 8

B. - 8

C. - 3/8

D. 3/8

E. - 8/3

F. 8/3

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Answers (1)
  1. 6 January, 16:14
    0
    E. - 8/3

    F. 8/3

    Step-by-step explanation:

    9x^2-64=0

    Add 64 to each side

    9x^2-64+64 = 0+64

    9x^2 = 64

    Divide each side by 9

    9x^2/9 = 64/9

    x^2 = 64/9

    Take the square root of each side

    sqrt (x^2) = ±sqrt (64/9)

    We know that sqrt (a/b) = sqrt (a) / sqrt (b)

    x = ±sqrt (64) / sqrt (9)

    x = ± 8/3
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