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

The solution to (-3+7i)/(-3-3i) is -2/3-5/3 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

- \frac{2}{3} - \frac{5}{3} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( - 3 + 7 i ) ( - 3 + 3 i )}{( - 3 - 3 i ) ( - 3 + 3 i )} : \frac{- 12 - 30 i}{18}

= \frac{- 12 - 30 i}{18}

Apply the fraction rule:

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

= \frac{- 12}{18} + \frac{- 30}{18} i

Simplify

\frac{- 12}{18} + \frac{- 30}{18} i : - \frac{2}{3} - \frac{5}{3} i

= - \frac{2}{3} - \frac{5}{3} i

\frac{2 x}{x - 2} - \frac{x + 5}{x + 3}

(9 + 7 i) (6 + i)

\frac{70}{100}

x^{2} + x^{- 2}

3 x^{2} - x^{2} + 5 x^{2}