Question
Answer
$$\dfrac{600-150i}{33000+22500-81750i}=\dfrac{405+362i}{86785}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{600-150i}{33000+22500-81750i}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{600-150i}{-81750i+55500} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{405+362i}{86785}\end{aligned} $$ | |
| ① | Simplify denominator $$ \color{blue}{33000} + \color{blue}{22500} -81750i = -81750i+ \color{blue}{55500} $$ |
| ② | Divide $ \, 600-150i \, $ by $ \, 55500-81750i \, $ to get $\,\, \dfrac{405+362i}{86785} $. ( view steps ) |
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