Question

Need help with this im confused

Answer 1

Answer:

$-\frac34 -\frac14 i$

Step-by-step explanation:

Let's start with distributing: $\frac1{4i}-\frac{3i}{4i}$ Simplify i with i in the second term, and rearrange.$-\frac34 +\frac1{4i}$. Since i in the denominator looks ugly, let's multiply top and bottom by i. $-\frac34 +\frac i{4i^2} = -\frac34 +\frac i{4(-1)} =-\frac34 -\frac14 i$. The middle passage is based on the fact that, by definition, $i^2=-1$