What is (3-4i)/(1-2i) ?

The solution to (3-4i)/(1-2i) is 11/5+2/5 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3-4i)/(1-2i)

simplify

\frac{3 - 4 i}{1 - 2 i}

\frac{11}{5} + \frac{2}{5} i

Solution steps

\frac{3 - 4 i}{1 - 2 i}

Multiply by the conjugate

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

= \frac{( 3 - 4 i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )}

Simplify

\frac{( 3 - 4 i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )} : \frac{11 + 2 i}{5}

= \frac{11 + 2 i}{5}

Rewrite in standard complex form:

\frac{11}{5} + \frac{2}{5} i

= \frac{11}{5} + \frac{2}{5} i

\frac{( - 1 ) ^{5}}{5}

3 x y \cdot 2 x

(- 9) (- 5)

- \frac{1}{3} \cdot \frac{2}{5}

(2 x) (5 x)