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1) For how many real values of $c$ do we have $\left|\frac12-ci\right| = \frac34$?

2) Determine the complex number $z$ satisfying the equation $2z-3\bar{z}=-2-30i$. Note that $\bar{z}$ denotes the conjugate of $z$.

 Apr 19, 2019
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1. There are four real values of c.

 

2. z = -7 + 13i.

 Nov 29, 2019

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