Divide.
-$\frac { 8 - 7 i } { 5 - 3 i }$
A) $\frac { 61 } { 34 } - \frac { 11 } { 34 } \mathrm { i }$
B) $\frac { 19 } { 34 } + \frac { 59 } { 34 } \mathrm { i }$
C) $\frac { 61 } { 16 } - \frac { 11 } { 16 } i$
D) $\frac { 19 } { 16 } - \frac { 11 } { 16 } \mathrm { i }$

Question

Quizplus · Accepted Answer

To divide complex numbers, you multiply the numerator and denominator by the conjugate of the denominator. Here, the conjugate of $5 - 3i$ is $5 + 3i$. Multiplying, we get $\frac{(8 - 7i)(5 + 3i)}{(5 - 3i)(5 + 3i)} = \frac{40 + 24i - 35i - 21}{25 + 9} = \frac{19 - 11i}{34}$, which simplifies to $\frac{61}{34} - \frac{11}{34}i$.

Divide - 8−7i5−3i\frac { 8 - 7 i } { 5 - 3 i }5−3i8−7i​

Divide
- $\frac { 8 - 7 i } { 5 - 3 i }$