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

The solution to (3+7i)/(3-7i) is -20/29+21/29 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

- \frac{20}{29} + \frac{21}{29} i

Solution steps

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

Multiply by the conjugate

\frac{3 + 7 i}{3 + 7 i}

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

Simplify

\frac{( 3 + 7 i ) ( 3 + 7 i )}{( 3 - 7 i ) ( 3 + 7 i )} : \frac{42 i - 40}{58}

= \frac{42 i - 40}{58}

Rewrite in standard complex form:

- \frac{20}{29} + \frac{21}{29} i

= - \frac{20}{29} + \frac{21}{29} i

\frac{4 x}{5} - \frac{x}{10}

6 [x - \frac{1}{2} (x - 1)]

\frac{64}{80}

\frac{3 ( w ) ^{3}}{2 w ^{6}}

3 - 11