Question
Answer
$$\dfrac{10\cdot5(-i\cdot100)}{10+5+(-i\cdot100)}=\dfrac{20000-3000i}{409}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{10\cdot5(-i\cdot100)}{10+5+(-i\cdot100)}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{-5000i}{-100i+15} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{20000-3000i}{409}\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{10} + \color{blue}{5} -100i = -100i+ \color{blue}{15} $$ |
| ② | Divide $ \, -5000i \, $ by $ \, 15-100i \, $ to get $\,\, \dfrac{20000-3000i}{409} $. ( view steps ) |
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