What is (8+7i)/(-3+4i) ?

The solution to (8+7i)/(-3+4i) is 4/25-53/25 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (8+7i)/(-3+4i)

simplify

\frac{8 + 7 i}{- 3 + 4 i}

\frac{4}{25} - \frac{53}{25} i

Solution steps

\frac{8 + 7 i}{- 3 + 4 i}

Multiply by the conjugate

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

= \frac{( 8 + 7 i ) ( - 3 - 4 i )}{( - 3 + 4 i ) ( - 3 - 4 i )}

Simplify

\frac{( 8 + 7 i ) ( - 3 - 4 i )}{( - 3 + 4 i ) ( - 3 - 4 i )} : \frac{4 - 53 i}{25}

= \frac{4 - 53 i}{25}

Rewrite in standard complex form:

\frac{4}{25} - \frac{53}{25} i

= \frac{4}{25} - \frac{53}{25} i

1 \div \frac{1}{5}

1 - e^{- 4}

\frac{x ^{2} + 12 x + 36}{x ^{2} - 36}

524 \cdot 310