Complex Numbers - Solution to Division Problem

Several days ago I began writing a series of posts about complex numbers. You can see that post here: Complex Numbers Addition and Subtraction Multiplication Division

Today I would like to provide a solution to Thursday’s division problem. Here is the problem one more time, followed by a solution:

Example:

$\frac{1+5i}{2-3i}=$

Solution:

$\frac{1+5i}{2-3i}= \frac{1+5i}{2-3i}\cdot \frac{2+3i}{2+3i}=\frac{(2-15)+(3+10)i}{4+9}=\frac{-13+13i}{13}=-\frac{13}{13}+\frac{13}{13}i=-1+i$

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Check out the Get 800 collection of test prep books to learn how to apply this information to standardized test questions.

Speak to you soon!

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