What is (-10-7i)/(6+8i) ?

The solution to (-10-7i)/(6+8i) is -29/25+19/50 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-10-7i)/(6+8i)

simplify

\frac{- 10 - 7 i}{6 + 8 i}

- \frac{29}{25} + \frac{19}{50} i

Solution steps

\frac{- 10 - 7 i}{6 + 8 i}

Multiply by the conjugate

\frac{6 - 8 i}{6 - 8 i}

= \frac{( - 10 - 7 i ) ( 6 - 8 i )}{( 6 + 8 i ) ( 6 - 8 i )}

Simplify

\frac{( - 10 - 7 i ) ( 6 - 8 i )}{( 6 + 8 i ) ( 6 - 8 i )} : \frac{- 116 + 38 i}{100}

= \frac{- 116 + 38 i}{100}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 116}{100} + \frac{38}{100} i

Simplify

\frac{- 116}{100} + \frac{38}{100} i : - \frac{29}{25} + \frac{19}{50} i

= - \frac{29}{25} + \frac{19}{50} i

\frac{28}{9}

lo g_{3} (\frac{1}{27})

2 lo g_{10} (9)

(x + 2) (x - 3) (x + 4)

(x - 5) (3 x - 6)