What is (-3+4i)/(-4-i) ?

The solution to (-3+4i)/(-4-i) is 8/17-19/17 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-3+4i)/(-4-i)

simplify

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

\frac{8}{17} - \frac{19}{17} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( - 3 + 4 i ) ( - 4 + i )}{( - 4 - i ) ( - 4 + i )} : \frac{8 - 19 i}{17}

= \frac{8 - 19 i}{17}

Rewrite in standard complex form:

\frac{8}{17} - \frac{19}{17} i

= \frac{8}{17} - \frac{19}{17} i

\frac{4 x ^{2} y ^{2}}{8 x ^{6} y ^{2}}

(x - 3)^{2} + 5

27 - 125 m^{3}

\frac{x}{\frac{2}{2}}

(4 x + 3) (4 x + 3)