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let z be a point in the complex plane. z is rotated counterclockwise by 2pi/3 about the origin, translated by -1/4+0i, and finally rotated counter-clockwise by another 2pi/3 about the origin to the point z^2. what is z?

 Mar 2, 2021
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z = 3/5 + 8/5*i.

 Mar 14, 2021

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