CPM Homework Help : A2C Problem 9-150

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Home > A2C > Chapter 9 > Lesson 9.3.2 > Problem 9-150

9-150.

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

$\frac { 5 + 3 i } { 5 - 3 i }$
Step 1(a):
Multiply both the numerator and denominator by the denominator's conjugate.
$\frac{(5+3\textit{i})(5+3\textit{i})}{(5-3\textit{i})(5+3\textit{i})}$
Step 2(a):
$\frac{16+30\textit{i}}{34}$
Answer (a):
$\frac{8}{17}+\frac{15}{17}i$

$\frac { 7 + 3 i } { 1 - i }$
Hint (b):
See part (a).

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