Find the missing complex number
-$\frac{?}{8+2 \mathrm{i}}=2-6 \mathrm{i}$
A) $28-44 \mathrm{i}$
B) $4+52 \mathrm{i}$
C) $28+44 \mathrm{i}$
D) $-12 i^{2}-44 i+16$

Question

Quizplus · Accepted Answer

To find the missing complex number, multiply both sides of the equation by $8+2i$. The right side becomes $(2-6i)(8+2i)$. Simplify this to get $16+4i-48i-12i^2$. Since $i^2 = -1$, this simplifies further to $16+4i-48i+12$, which is $28-44i$.

Find the Missing Complex Number - ?8+2i=2−6i\frac{?}{8+2 \mathrm{i}}=2-6 \mathrm{i}8+2i?​=2−6i A) 28−44i28-44 \mathrm{i}28−44i

Find the Missing Complex Number
- $\frac{?}{8+2 \mathrm{i}}=2-6 \mathrm{i}$ A) $28-44 \mathrm{i}$