Math Problem Solver

$$\left\lvert z\right\rvert = \left|{x + y i - \frac{y i}{x}}\right|$$

$$\begin{aligned}\left|{z}\right|&=\left|{x + y i - \frac{y i}{x}}\right|\\&=\left|{x + y i - \frac{i y}{x}}\right|\\&=\left|{y i + x -\frac{i y}{x}}\right|\\&=\left|{y i + x - \frac{i y}{x}}\right|\\&=\left|{x + y i - \frac{y i}{x}}\right|\end{aligned}$$

$i$ is the imaginary unit, defined as $i^2 = -1$.