What is (-5+3i)/(2i) ?

The solution to (-5+3i)/(2i) is 3/2+5/2 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-5+3i)/(2i)

simplify

\frac{- 5 + 3 i}{2 i}

\frac{3}{2} + \frac{5}{2} i

Solution steps

\frac{- 5 + 3 i}{2 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( - 5 + 3 i ) ( - i )}{2 i ( - i )}

Simplify

\frac{( - 5 + 3 i ) ( - i )}{2 i ( - i )} : \frac{5 i + 3}{2}

= \frac{5 i + 3}{2}

Rewrite in standard complex form:

\frac{3}{2} + \frac{5}{2} i

= \frac{3}{2} + \frac{5}{2} i

6 e^{1}

i^{2022} + i^{2023}

(- 5 + 3 i) (- 5 - 3 i)

\frac{9 - 17 i}{1 - 3 i}

\frac{2}{x} + \frac{3}{x + 1}