Question

Simplify the expression. -5+i/2i Show all steps.

Answer 1

\[\frac{-5+i}{2i}\]
Multiplying numerator and denominator by i we find;

\[\frac{-5+i}{2i} = \frac{-5+i}{2i} \times \frac{i}{i}\]
\[= \frac{(-5+i) \times i}{2i \times i}= \frac{(-5i+i^2)}{2i^2}\]
\[= \frac{(-5i+(-1))}{2(-1)}= \frac{-5i-1}{-2}= \frac{-(5i+1)}{-2}= \frac{1+5i}{2}\]
\[= \frac{1}{2}+\frac{5}{2}i\] is the required simplified form.

@Greenanole

Answer 2

Reason: \[i^2 = -1\]

Answer 3

Thank you

Answer 4

@Greenanole medal please.