What is (24-3i)/(-6-9i) ?

The solution to (24-3i)/(-6-9i) is -1+2i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (24-3i)/(-6-9i)

simplify

\frac{24 - 3 i}{- 6 - 9 i}

- 1 + 2 i

Solution steps

\frac{24 - 3 i}{- 6 - 9 i}

Multiply by the conjugate

\frac{- 6 + 9 i}{- 6 + 9 i}

= \frac{( 24 - 3 i ) ( - 6 + 9 i )}{( - 6 - 9 i ) ( - 6 + 9 i )}

Simplify

\frac{( 24 - 3 i ) ( - 6 + 9 i )}{( - 6 - 9 i ) ( - 6 + 9 i )} : \frac{- 117 + 234 i}{117}

= \frac{- 117 + 234 i}{117}

Apply the fraction rule:

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

= \frac{- 117}{117} + \frac{234}{117} i

Simplify

\frac{- 117}{117} + \frac{234}{117} i : - 1 + 2 i

= - 1 + 2 i

36 \times 6

x + (x + 1) + (x + 2)

- (- 3) [2 x + 12 x - y] + 6 [x - 20] - x [2 (x - 3)] - 3

(5 - y)^{2}

s^{2} - 1