Question

Need help with this im confused

Answer 1

`-\frac34 -\frac14 i`

Explanation:

Let's start with distributing:
`\frac1{4i}-(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`