Divide.
-$\frac { 7 - 10 i } { - 5 i }$
A) $- 2 - \frac { 7 } { 5 } i$
B) $2 + \frac { 7 } { 5 } i$
C) $- \frac { 7 } { 5 } + 2 i$
D) $\frac { 7 } { 5 } - 2 i$

Question

Quizplus · Accepted Answer

To divide complex numbers, you can multiply the numerator and denominator by the conjugate of the denominator. Here, the conjugate of $-5i$ is $5i$. So, $\frac { 7 - 10 i } { - 5 i }$ becomes $\frac { (7 - 10i)(5i) } { (-5i)(5i) }$. Simplifying this gives $\frac { 35i + 50 } { 25 }$, which simplifies further to $2 + \frac { 7 } { 5 } i$.

Divide - 7−10i−5i\frac { 7 - 10 i } { - 5 i }−5i7−10i​

Divide
- $\frac { 7 - 10 i } { - 5 i }$