What is ((5-i))/((4+3i)) ?

The solution to ((5-i))/((4+3i)) is 17/25-19/25 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((5-i))/((4+3i))

simplify

\frac{( 5 - i )}{( 4 + 3 i )}

\frac{17}{25} - \frac{19}{25} i

Solution steps

\frac{5 - i}{4 + 3 i}

Multiply by the conjugate

\frac{4 - 3 i}{4 - 3 i}

= \frac{( 5 - i ) ( 4 - 3 i )}{( 4 + 3 i ) ( 4 - 3 i )}

Simplify

\frac{( 5 - i ) ( 4 - 3 i )}{( 4 + 3 i ) ( 4 - 3 i )} : \frac{17 - 19 i}{25}

= \frac{17 - 19 i}{25}

Rewrite in standard complex form:

\frac{17}{25} - \frac{19}{25} i

= \frac{17}{25} - \frac{19}{25} i

18 + 32

x < - 1 and x > - 3

∣ x + 1 ∣ + ∣ x - 2 ∣ - ∣ x - 3 ∣ < x + 3 - ∣ x - 4 ∣

x^{4} - 5 x^{2} - 24

- \frac{3}{4} - \frac{2}{3}