Divide.
-$\frac { 6 + 2 i } { 6 - 2 i }$
A) $\frac { 1 } { 8 } + \frac { 3 } { 32 } \mathrm { i }$
B) $\frac { 4 } { 5 } + \frac { 3 } { 5 } i$
C)54 + 323 i
D)8 + 0i

Question

Quizplus · Accepted Answer

To divide complex numbers, you multiply the numerator and denominator by the conjugate of the denominator. Here, the conjugate of $6 - 2i$ is $6 + 2i$. So, $\frac{6 + 2i}{6 - 2i} \cdot \frac{6 + 2i}{6 + 2i} = \frac{36 + 12i + 12i + 4}{36 + 4} = \frac{40 + 24i}{40} = 1 + \frac{3}{5}i = \frac{4}{5} + \frac{3}{5}i$.

Divide - 6+2i6−2i\frac { 6 + 2 i } { 6 - 2 i }6−2i6+2i​

Divide
- $\frac { 6 + 2 i } { 6 - 2 i }$