Divide.
-$$1 \div ( 6 + 8 i )$$
A) $\frac { 3 } { 50 } - \frac { 2 } { 25 } \mathrm { i }$
B) $- \frac { 3 } { 14 } - \frac { 2 } { 7 } \mathrm { i }$
C) $- \frac { 3 } { 14 } + \frac { 2 } { 7 } \mathrm { i }$
D) $\frac { 3 } { 50 } + \frac { 2 } { 25 } \mathrm { i }$

Question

Quizplus · Accepted Answer

To divide complex numbers, you multiply the numerator and denominator by the conjugate of the denominator. The conjugate of $6 + 8i$ is $6 - 8i$. So, $\frac{1}{6+8i} \times \frac{6-8i}{6-8i} = \frac{6-8i}{36+64} = \frac{6}{100} - \frac{8}{100}i = \frac{3}{50} - \frac{2}{25}i$.

Divide - 1÷(6+8i)1 \div ( 6 + 8 i )1÷(6+8i) A) 350−225i\frac { 3 } { 50 } - \frac { 2 } { 25 } \mathrm { i }503​−252​i

Divide
- $1 \div ( 6 + 8 i )$ A) $\frac { 3 } { 50 } - \frac { 2 } { 25 } \mathrm { i }$