Question
Answer
$$\dfrac{5+12i}{2-3i}=3i-2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{5+12i}{2-3i}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-2+3i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3i-2\end{aligned} $$ | |
| ① | Divide $ \, 5+12i \, $ by $ \, 2-3i \, $ to get $\,\, -2+3i $. ( view steps ) |
| ② | Combine like terms: $$ 3i-2 = 3i-2 $$ |
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