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 $z$.
1. There are four real values of c.
2. z = -7 + 13i.
