What is (-3+5i)/(-9+4i) ?

The solution to (-3+5i)/(-9+4i) is 47/97-33/97 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-3+5i)/(-9+4i)

simplify

\frac{- 3 + 5 i}{- 9 + 4 i}

\frac{47}{97} - \frac{33}{97} i

Solution steps

\frac{- 3 + 5 i}{- 9 + 4 i}

Multiply by the conjugate

\frac{- 9 - 4 i}{- 9 - 4 i}

= \frac{( - 3 + 5 i ) ( - 9 - 4 i )}{( - 9 + 4 i ) ( - 9 - 4 i )}

Simplify

\frac{( - 3 + 5 i ) ( - 9 - 4 i )}{( - 9 + 4 i ) ( - 9 - 4 i )} : \frac{47 - 33 i}{97}

= \frac{47 - 33 i}{97}

Rewrite in standard complex form:

\frac{47}{97} - \frac{33}{97} i

= \frac{47}{97} - \frac{33}{97} i

6 \cdot (23 - 2 + 12)

\frac{2}{x} + \frac{3}{x - 1} - \frac{4}{x ^{2} - x}

(x - 1) (2 x + 3)

6 x^{2} - 9 x

2 x + 3 x^{2}