Question

WILL GIVE BRAINLIEST AWARD FOR BEST ANSWER!!!! Please show all work cause I don't get how to do this

simplify the expression
-5+i/2i

Answer 1

assuming you mean $\frac{-5+i}{2i}$

and $i=\sqrt{-1}$

recall that $i^2=-1$

we want to get it into a+bi form

we can separate it into

$\frac{-5}{2i}+\frac{i}{2i}$

this equals

$\frac{-5}{2i}+\frac{1}{2}$

we can multiply the first fraction by i/i to get

$\frac{-5i}{2i^2}+\frac{1}{2}$

$\frac{-5i}{2(-1)}+\frac{1}{2}$

$\frac{-5i}{-2}+\frac{1}[2}$

$\frac{5}{2}i+\frac{1}{2}$

in a+bi form it is

$\frac{1}{2}+\frac{5}{2}i$