CPM Homework Help : A2C Problem 9-156

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Home > A2C > Chapter 9 > Lesson 9.3.2 > Problem 9-156

9-156.

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

$\frac { 2 - 6 i } { 4 + 2 i }$
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):
$-\frac{1}{5}+\frac{-7}{5}i$

$\frac { 5 } { 1 + 2 i }$
Hint (b):
See part (a).

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