What is (-3-9i)/(-1+10i) ?

The solution to (-3-9i)/(-1+10i) is -87/101+39/101 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-3-9i)/(-1+10i)

simplify

\frac{- 3 - 9 i}{- 1 + 10 i}

- \frac{87}{101} + \frac{39}{101} i

Solution steps

\frac{- 3 - 9 i}{- 1 + 10 i}

Multiply by the conjugate

\frac{- 1 - 10 i}{- 1 - 10 i}

= \frac{( - 3 - 9 i ) ( - 1 - 10 i )}{( - 1 + 10 i ) ( - 1 - 10 i )}

Simplify

\frac{( - 3 - 9 i ) ( - 1 - 10 i )}{( - 1 + 10 i ) ( - 1 - 10 i )} : \frac{- 87 + 39 i}{101}

= \frac{- 87 + 39 i}{101}

Rewrite in standard complex form:

- \frac{87}{101} + \frac{39}{101} i

= - \frac{87}{101} + \frac{39}{101} i

\frac{4 !}{( 4 - 4 ) !}

\frac{- 21 - 15 i}{- 1 - 6 i}

(2 x + 9)^{2}

- 7 + (- 3)

3000