Question
Answer
$$\dfrac{1}{0.02\dfrac{600-150i}{33000+22500-81750i}}=\color{red}{\text{??}}$$
ERROR: Cannot divide by zero.
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{1}{0.02\frac{600-150i}{33000+22500-81750i}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{1}{0.02\frac{600-150i}{-81750i+55500}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{1}{0.02\frac{405+362i}{86785}} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{1}{\frac{0}{86785}} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{1}{0} \xlongequal{ } \\[1 em] & \xlongequal{} \text{Cannot divide by zero.}\end{aligned} $$ | |
| 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 ) |
| ③ | Multiply $0$ by $ \dfrac{405+362i}{86785} $ to get $ \dfrac{0}{86785} $. Step 1: Write $ 0 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 0 \cdot \frac{405+362i}{86785} & \xlongequal{\text{Step 1}} \frac{0}{\color{red}{1}} \cdot \frac{405+362i}{86785} \xlongequal{\text{Step 2}} \frac{ 0 \cdot \left( 405+362i \right) }{ 1 \cdot 86785 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 00i }{ 86785 } = \frac{0}{86785} \end{aligned} $$ |
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