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8 September, 04:51

Show all work to factor x4-5x2+4

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  1. 8 September, 06:40
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    x = 1 or - 1

    x = - 2 or 2

    Step-by-step explanation:

    x4 - 5x2 + 4 = 0

    x4 - 4 x2 - x2 + 4 = 0

    x2 (x2 - 4) - 1 (x2 - 4) = 0

    (x2 - 1) (x2 - 4) =

    x2 - 1 = 0 or x2 - 4 = 0

    x2 = 1 x2 = 4

    x = 1 or - 1 x = - 2 or 2
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