Question

How do I simplify the expression (-5+i)/2i

Answer 1

is it\[(-5+i)/2i\]

Answer 2

Yeah

Answer 3

divide is the word you are looking for
or "write in standard form as \(a+bi\)

Answer 4

\[\frac{-5+i}{2i}\times \frac{i}{i}\] is a start

Answer 5

you get
\[\frac{-5i-1}{-2}\]as a first step

Answer 6

Okay, I've gotten that far... What about after that?

Answer 7

then in standard form it would be
\[\frac{1}{2}+\frac{5}{2}i\]

Answer 8

How do you get there from the last step?

Answer 9

break it in to two parts

Answer 10

\[\frac{-5i-1}{-2}=\frac{-1}{-2}+\frac{-5}{-2}i=\frac{1}{2}+\frac{5}{2}i\]

Answer 11

Oh, I see. Sorry, I just didn't see what was done between those two. So is that the final step?

Answer 12

yeh

Answer 13

Okay. Thanks a lot everyone!

Answer 14

yw:)