en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2/(5-i)

Solution

simplify

\frac{2}{5 - i}

Solution

\frac{5}{13} + \frac{1}{13} i

Solution steps

\frac{2}{5 - i}

Multiply by the conjugate

\frac{5 + i}{5 + i}

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

Simplify

\frac{2 ( 5 + i )}{( 5 - i ) ( 5 + i )} : \frac{10 + 2 i}{26}

= \frac{10 + 2 i}{26}

Apply the fraction rule:

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

= \frac{10}{26} + \frac{2}{26} i

Simplify

\frac{10}{26} + \frac{2}{26} i : \frac{5}{13} + \frac{1}{13} i

= \frac{5}{13} + \frac{1}{13} i

Popular Examples

- 12 = 2 + 5 v + 2 v

simplify \sqrt[6]{128}simplify

simplify (8/9)^{-1}simplify

(\frac{8}{9})^{- 1}

factor 9p^2-42p+49 factor

9 p^{2} - 42 p + 49

3 (4 c - 5) - 2 c > 0

Frequently Asked Questions (FAQ)

What is 2/(5-i) ?
The solution to 2/(5-i) is 5/13+1/13 i