Question

Simplify the expression -5+i/2i
Can you also show me the steps of how to do it

Answer 1

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

Answer 2

yes

Answer 3

ok, extend fraction by i. use this rule:
i*i=-1 (definition)

-5i -1
------
2*-1

Answer 4

okay so
-5(-1)-1
---------
-2
right?
or is that an answer that you wrote

Answer 5

original equation:
-5 + i
-----
2 i

extend numerator and denominator by i:
i (-5 + i)
---------
i (2 i)

calculate:
-5 i + i*i
---------
2 i * i

use the rule i*i = -1:
-5i +(-1)
--------
2 (-1)

Answer 6

oh so the answer would be
-5i-1
--------
-2

Answer 7

yes :)

Answer 8

you can also multiply by -2 to simplify a bit...

Answer 9

Yay thank you so much

Answer 10

no issue

Answer 11

5i + 1
-----
2

should be the same thing

Answer 12

yes it should :)