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# Complex Numbers

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There exists a complex number of the form z = x + yi, where x and y are positive integers, such that

z^3 + 14 = -74 + ci,

for some integer c.  Find z.

Apr 9, 2021

when we are finding Z we can use the information in the question $$z^3+14=-74+ci$$ and we find out that $$z = \sqrt[3]{ci-88}$$