What is ((7-2i))/((2+9i)) ?

The solution to ((7-2i))/((2+9i)) is -4/85-67/85 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((7-2i))/((2+9i))

simplify

\frac{( 7 - 2 i )}{( 2 + 9 i )}

- \frac{4}{85} - \frac{67}{85} i

Solution steps

\frac{7 - 2 i}{2 + 9 i}

Multiply by the conjugate

\frac{2 - 9 i}{2 - 9 i}

= \frac{( 7 - 2 i ) ( 2 - 9 i )}{( 2 + 9 i ) ( 2 - 9 i )}

Simplify

\frac{( 7 - 2 i ) ( 2 - 9 i )}{( 2 + 9 i ) ( 2 - 9 i )} : \frac{- 4 - 67 i}{85}

= \frac{- 4 - 67 i}{85}

Apply the fraction rule:

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

= \frac{- 4}{85} + \frac{- 67}{85} i

Simplify

\frac{- 4}{85} + \frac{- 67}{85} i : - \frac{4}{85} - \frac{67}{85} i

= - \frac{4}{85} - \frac{67}{85} i

(x^{2} - 2 x - 2) (x^{2} - 3 x + 3)

lo g_{12} (8)

10404

2 (8 g + 2) - 1 + 4 g - (2 - 5 g)

\frac{30 a ^{4} b ^{5}}{- 6 a ^{4} b}