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31 March, 08:23

Find all roots of y=x^3-64

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  1. 31 March, 09:42
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    x = - 4i and x = 4i, also x = 4

    Step-by-step explanation:

    Rewrite y = x^3-64 as y = x^3 - 64. This can again be rewritten, this time as:

    y = (x - 4) (x^2 + 16).

    Setting this = to 0, we get x - 4 = 0, whose corresponding root is x = 4, and

    x^2 + 16), which has two unequal, imaginary roots: x = - 4i and x = 4i.
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