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16 May, 04:59

Solve (9x-4) ^2=18 using the square root method

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  1. 16 May, 08:48
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    x = 4/9 + sqrt (2) / 3 or x = 4/9 - sqrt (2) / 3

    Step-by-step explanation:

    Solve for x over the real numbers:

    (9 x - 4) ^2 = 18

    Take the square root of both sides:

    9 x - 4 = 3 sqrt (2) or 9 x - 4 = - 3 sqrt (2)

    Add 4 to both sides:

    9 x = 4 + 3 sqrt (2) or 9 x - 4 = - 3 sqrt (2)

    Divide both sides by 9:

    x = 4/9 + sqrt (2) / 3 or 9 x - 4 = - 3 sqrt (2)

    Add 4 to both sides:

    x = 4/9 + sqrt (2) / 3 or 9 x = 4 - 3 sqrt (2)

    Divide both sides by 9:

    Answer: x = 4/9 + sqrt (2) / 3 or x = 4/9 - sqrt (2) / 3
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