serinatrails19
serinatrails19 serinatrails19
  • 03-11-2017
  • Mathematics
contestada

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

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 03-11-2017

assuming you mean [tex]\frac{-5+i}{2i}[/tex]

and [tex]i=\sqrt{-1}[/tex]

recall that [tex]i^2=-1[/tex]

we want to get it into a+bi form


we can separate it into

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

this equals

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

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

[tex]\frac{-5i}{2i^2}+\frac{1}{2}[/tex]

[tex]\frac{-5i}{2(-1)}+\frac{1}{2}[/tex]

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

[tex]\frac{5}{2}i+\frac{1}{2}[/tex]

in a+bi form it is

[tex]\frac{1}{2}+\frac{5}{2}i[/tex]

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