What is (7-6i)/(7+i) ?

The solution to (7-6i)/(7+i) is 43/50-49/50 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (7-6i)/(7+i)

simplify

\frac{7 - 6 i}{7 + i}

\frac{43}{50} - \frac{49}{50} i

Solution steps

\frac{7 - 6 i}{7 + i}

Multiply by the conjugate

\frac{7 - i}{7 - i}

= \frac{( 7 - 6 i ) ( 7 - i )}{( 7 + i ) ( 7 - i )}

Simplify

\frac{( 7 - 6 i ) ( 7 - i )}{( 7 + i ) ( 7 - i )} : \frac{43 - 49 i}{50}

= \frac{43 - 49 i}{50}

Rewrite in standard complex form:

\frac{43}{50} - \frac{49}{50} i

= \frac{43}{50} - \frac{49}{50} i

lo g_{8} (- 1)

\frac{5 + 5 i}{1 + i}

- 2 - 16

- 30 \div 10

\frac{2 + i}{3 - 2 i}