What is (5+3i)/(1-2i) ?

The solution to (5+3i)/(1-2i) is -1/5+13/5 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5+3i)/(1-2i)

simplify

\frac{5 + 3 i}{1 - 2 i}

- \frac{1}{5} + \frac{13}{5} i

Solution steps

\frac{5 + 3 i}{1 - 2 i}

Multiply by the conjugate

\frac{1 + 2 i}{1 + 2 i}

= \frac{( 5 + 3 i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )}

Simplify

\frac{( 5 + 3 i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )} : \frac{- 1 + 13 i}{5}

= \frac{- 1 + 13 i}{5}

Rewrite in standard complex form:

- \frac{1}{5} + \frac{13}{5} i

= - \frac{1}{5} + \frac{13}{5} i

7 + \frac{3}{7}

7 x + 3 - 3 x

\frac{8821}{10000} 7.14285

\frac{27 x ^{5}}{42 x}

\frac{1}{2 x + 1} + 5