CPM Homework Help : A2C Problem 9-156

Rewrite each of the following division problems as a single complex number in simplest form. Homework Help ✎

Step 1(a):

First simplify the equation.

$\frac{1-3\textit{i}}{2+\textit{i}}$

Step 2(a):

Now multiply by the conjugate.

$\frac{(1-3\textit{i})(2-\textit{i})}{(2-\textit{i})(2+\textit{i})}$

Answer (a):

$-\frac{1}{5}+\frac{-7}{5}i$

Hint (b):

See part (a).