What is (-18-2i)/(8+10i) ?

The solution to (-18-2i)/(8+10i) is -1+i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-18-2i)/(8+10i)

simplify

\frac{- 18 - 2 i}{8 + 10 i}

- 1 + i

Solution steps

\frac{- 18 - 2 i}{8 + 10 i}

Multiply by the conjugate

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

= \frac{( - 18 - 2 i ) ( 8 - 10 i )}{( 8 + 10 i ) ( 8 - 10 i )}

Simplify

\frac{( - 18 - 2 i ) ( 8 - 10 i )}{( 8 + 10 i ) ( 8 - 10 i )} : \frac{- 164 + 164 i}{164}

= \frac{- 164 + 164 i}{164}

Apply the fraction rule:

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

= \frac{- 164}{164} + \frac{164}{164} i

Simplify

\frac{- 164}{164} + \frac{164}{164} i : - 1 + i

= - 1 + i

2 \times 3

5 \div 1

(9 f^{3} - 1) (9 f^{3} + 1)

(x - 3) (x - 7)

(2 - 4 x)^{2}