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Find all solutions (including solutions that are not real) to z^3 + 8 = 0.

 Jul 5, 2022
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We can write the equation as z^3 = -8.  In exponential form, -8 = 8*e^(pi*i).

 

Then using roots of unity, the solutions are -2, 1 - i*sqrt(5), 1 + i*sqrt(5).

 Jul 5, 2022

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