Alg 2 help? Will fan, medal and testify.

Question

anonymous · Answer

Simplify the expression 
$$\frac{ -5+i }{ 2i }$$
Show your work

xapproachesinfinity · Answer

i suggest that you multiply top and bottom by i first

nicholausblackmon · Answer

what do you mean testify?

xapproachesinfinity · Answer

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

anonymous · Answer

$$\frac{ (-5i+i^2 }{ 2i}$$ Like this?
And I meant a testimonial

xapproachesinfinity · Answer

Take it from there....

xapproachesinfinity · Answer

look at my reply i said top and bottom by i not just top

anonymous · Answer

Why would multiplying the bottom by i remove the i? Wouldn't it just stay the same because 1xanything= the other number?

xapproachesinfinity · Answer

because $\large i^2=-1$ you need to rationalize the bottom

anonymous · Answer

$$\frac{ -5i+i^2 }{ -2}$$
Ok so thats what it would end up as then?

xapproachesinfinity · Answer

i^2=-1
you have i^2 on top
and simplify more

anonymous · Answer

$$\frac{ -5i-1 }{ -2 }$$ which would then simplify to $$-5i+\frac{ 1 }{ 2 }$$?

xapproachesinfinity · Answer

you have separated the fraction but not correctly
5/2 i +1/2

anonymous · Answer

Oh ok. Sorry, simple mistake I should't have missed. So is that the final answer?

xapproachesinfinity · Answer

yes!
it preferably to right a complex number in this form z=a+bi
so 1/2+5/2 i
but either ways is correct

anonymous · Answer

Thanks a million! You helped a lot!

xapproachesinfinity · Answer

no problem

anonymous · Answer

I will post ur testimony later tonight, my family is yelling for me to get upstairs for family night! Thanks again!

xapproachesinfinity · Answer

No worries about that^_^