Question

Simplify the expression.
-5 + i / 2i

Answer 1

@iGreen @sammixboo
I have the solution : -11/2
I just need to know the steps? something like 2 x i...

Answer 2

@jdoe0001 @AriPotta @LiteNing1337 @kropot72 @uri @Compassionate ?

Answer 3

@AriPotta could you please help?

Answer 4

@aum please help it will only take 2 mins!

Answer 5

Does this help? :)
https://www.google.com/search?q=-5+%2B+i+%2F+2i

Answer 6

Thank you for trying. It sort of does, but I got a different solution than this. :/ @CrazyCountryGirl

Answer 7

@LiteNing1337

Answer 8

is that:\[-5+\frac{i}{2i}\tag{1}\]or is it:\[\frac{-5+i}{2i}\tag{2}\]

Answer 9

its the second one :)

Answer 10

No, could you show me?

Answer 11

do you know what a complex conjugate is?

Answer 12

Something having to do with the imaginary i or the opposite right?

Answer 13

almost :)

if you have a complex number of the form \(a+bi\), then its complex conjugate is \(a-bi\)

Answer 14

in your case you have \(2i\) in the denominator which can also be written as \(0+2i\)

what do you think would be the complex conjugate of this number?

Answer 15

i2? Im not sure

Answer 16

remember that the complex conjugate of \(a+bi\) is \(a-bi\)

so the complex conjugate of \(0+2i\) will be?

HINT: I this case \(a=0, b=2\)

Answer 17

*In this case

Answer 18

Im sorry its a bit confusing.. 2i?

Answer 19

I suggest you first learn about complex conjugates - perhaps this will help you: http://www.mathsisfun.com/numbers/complex-numbers.html

let me know if you are still confused after this and I will try and help further

Answer 20

@StudyGurl14 could you help?

Answer 21

Yeah. I'm pretty sure you just multiply the both numerator and denominator by 2i...then simplify...

Answer 22

Sorry, I meant -2i...

Answer 23

That's what @asnaseer was talking about. The complex conjugate.

Answer 24

Oh.. so how would I do that on a calculator

Answer 25

Um...You can't really input imaginary numbers on a calculator I don't think...