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

The solution to ((2-3i))/((1-2i)) is 8/5+1/5 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

\frac{( 2 - 3 i )}{( 1 - 2 i )}

\frac{8}{5} + \frac{1}{5} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 2 - 3 i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )} : \frac{8 + i}{5}

= \frac{8 + i}{5}

Rewrite in standard complex form:

\frac{8}{5} + \frac{1}{5} i

= \frac{8}{5} + \frac{1}{5} i

\frac{x ^{2} + x - 2}{x + 2}

3 sin (x) - 4 sin^{3} (x)

(y - 7) (y - 1)

0.36 + 0.25

\frac{5 x ^{2} - 20}{25 x ^{2}} \cdot \frac{x}{x - 2}