Find the missing complex number.
-$$\frac { ? } { 9 - 8 \mathrm { i } } = 8 - 5 \mathrm { i }$$
A) $40 \mathrm { i } ^ { 2 } - 109 \mathrm { i } + 72$
B) $32 + 109 i$
C) $32 - 109 \mathrm { i }$
D) $112 - 19 \mathrm { i }$

Question

Quizplus · Accepted Answer

We want to solve for the missing complex number, let's call it $z$:
$$\frac{z}{9-8i}=8-5i$$
Multiply both sides by $9-8i$:
$$z=(8-5i)(9-8i)=32-109i$$
Therefore, the answer is choice C.

Find the Missing Complex Number ?9−8i=8−5i\frac { ? } { 9 - 8 \mathrm { i } } = 8 - 5 \mathrm { i }9−8i?​=8−5i

Find the Missing Complex Number $\frac { ? } { 9 - 8 \mathrm { i } } = 8 - 5 \mathrm { i }$