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17 May, 08:20

Find all solutions to the equation equation (x - 1) ^2 = - 4.

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  1. 17 May, 09:52
    0
    x = 1±2i

    Step-by-step explanation:

    (x - 1) ^2 = - 4.

    Take the square root of each side

    sqrt ((x - 1) ^2) = sqrt (-4)

    Sqrt (ab) = sqrt (a) sqrt (b)

    We know the sqrt (4) = 2 and the sqrt (-1) = ±i

    x-1 = ±2i

    Add 1 to each side

    x-1+1 = 1±2i

    x = 1±2i
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