CPM Homework Help : A2C Problem 9-143

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Home > A2C > Chapter 9 > Lesson 9.3.2 > Problem 9-143

9-143.

Use the method developed in problem 9-142 to do the following division problems. Homework Help ✎
2. (−3 + i) ÷ (2 + 3i)

Step (a):

Use by the conjugate to rationalize the denominator.

$\frac{(2-5\textit{i})(1+2\textit{i})}{(1-2\textit{i})(1+2\textit{i})}$

Answer (a):

$\frac{12}{5}-\frac{1}{5}\textit{i}$

Hint (b):

See part (a).

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