What is (5-2i)/(-4-3i) ?

The solution to (5-2i)/(-4-3i) is -14/25+23/25 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5-2i)/(-4-3i)

simplify

\frac{5 - 2 i}{- 4 - 3 i}

- \frac{14}{25} + \frac{23}{25} i

Solution steps

\frac{5 - 2 i}{- 4 - 3 i}

Multiply by the conjugate

\frac{- 4 + 3 i}{- 4 + 3 i}

= \frac{( 5 - 2 i ) ( - 4 + 3 i )}{( - 4 - 3 i ) ( - 4 + 3 i )}

Simplify

\frac{( 5 - 2 i ) ( - 4 + 3 i )}{( - 4 - 3 i ) ( - 4 + 3 i )} : \frac{- 14 + 23 i}{25}

= \frac{- 14 + 23 i}{25}

Rewrite in standard complex form:

- \frac{14}{25} + \frac{23}{25} i

= - \frac{14}{25} + \frac{23}{25} i

\frac{π ( 16 )}{4}

e^{l n (- 1)}

(5 m^{- 1} n^{2}) (- 3 m^{3} n)

\frac{x - 7}{x ^{2} - 8 x + 7}

- 7 - (- 13)