31 March, 08:23
Find all roots of y=x^3-64
31 March, 09:42
x = - 4i and x = 4i, also x = 4
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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