Simplify the expression (-5+i)/(2i)

Question

Simplify the expression


`(-5+i)/(2i)`

Answer 1

Multiply by the conjugate and simplify.

1/2 + 5i/2

Answer 2

`\text{We know}\ i=√(-1)\to i^2=-1`

`(-5+i)/(2i)=(-5+i)/(2i)\cdot(i)/(i)=(-5i+i^2)/(2i^2)=(-5i+(-1))/(2(-1))=(-5i-1)/(-2)\\\\=(-5i)/(-2)+(-1)/(-2)=\boxed{(1)/(2)+(5)/(2)i}`