What is (5-2i)/(-4-9i) ?

The solution to (5-2i)/(-4-9i) is -2/97+53/97 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5-2i)/(-4-9i)

simplify

\frac{5 - 2 i}{- 4 - 9 i}

- \frac{2}{97} + \frac{53}{97} i

Solution steps

\frac{5 - 2 i}{- 4 - 9 i}

Multiply by the conjugate

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

= \frac{( 5 - 2 i ) ( - 4 + 9 i )}{( - 4 - 9 i ) ( - 4 + 9 i )}

Simplify

\frac{( 5 - 2 i ) ( - 4 + 9 i )}{( - 4 - 9 i ) ( - 4 + 9 i )} : \frac{- 2 + 53 i}{97}

= \frac{- 2 + 53 i}{97}

Rewrite in standard complex form:

- \frac{2}{97} + \frac{53}{97} i

= - \frac{2}{97} + \frac{53}{97} i

18 \times 2

lo g_{\frac{1}{2}} (128)

(a^{7} - b^{7})^{2}

\frac{2}{3} + \frac{5}{4}

(9 - x^{2})^{2}