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21 April, 08:15

What are the solutions to the equation and check for extraneous solutions:

16 = (x-2) ^2/3

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  1. 21 April, 08:20
    0
    we have x = - 62 or x = 66

    Step-by-step explanation:

    16 = (x-2) ^2/3

    I would take square root first

    4 = (x - 2) ^ (1/3)

    or - 4 = (x - 2) ^ (1/3)

    ...

    4^3 = x - 2

    64 = x - 2

    x = 66

    or - 4 ^3 = x - 2

    -64 = x - 2

    x = - 62

    we have x = - 62 or x = 66
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