How do you divide (-5 - 3i)/(4i)53i4i?

1 Answer
Jun 17, 2018

-3/4+5/4i34+54i

Explanation:

"we require the denominator to be real"we require the denominator to be real

"this can be achieved by multiplying the numerator"this can be achieved by multiplying the numerator
"and denominator by "iand denominator by i

[i^2=(sqrt(-1))^2=-1][i2=(1)2=1]

=(i(-5-3i))/(4i^2)=i(53i)4i2

=(-5i+3)/(-4)=5i+34

=(-5i)/(-4)+3/(-4)=-3/4+5/4ilarrcolor(red)"in standard form"=5i4+34=34+54iin standard form