What is (10+8i)/(-4i) ?

The solution to (10+8i)/(-4i) is -2+5/2 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (10+8i)/(-4i)

simplify

\frac{10 + 8 i}{- 4 i}

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

Solution steps

\frac{10 + 8 i}{- 4 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 10 + 8 i ) ( - i )}{- 4 i ( - i )}

Simplify

\frac{( 10 + 8 i ) ( - i )}{- 4 i ( - i )} : \frac{- 10 i + 8}{- 4}

= \frac{- 10 i + 8}{- 4}

Rewrite in standard complex form:

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

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

\frac{x ^{2} + y ^{2}}{x ^{2} - y ^{2}}

x^{2} + 5 x = 24

- 21 x + 12 = - 6 - 3 x

2 (5 x - 3) - (2 x - 4) = 5 - (6 x + 1)

- 0.989 = 0 + \frac{1}{2} (- 9.796) t^{2}