What is simplify 5/((5+i)) ?

The solution to simplify 5/((5+i)) is 25/26-5/26 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

Evaluate 5/(5+i)

simplify

\frac{5}{( 5 + i )}

\frac{25}{26} - \frac{5}{26} i

Solution steps

\frac{5}{5 + i}

Multiply by the conjugate

\frac{5 - i}{5 - i}

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

Simplify

\frac{5 ( 5 - i )}{( 5 + i ) ( 5 - i )} : \frac{25 - 5 i}{26}

= \frac{25 - 5 i}{26}

Rewrite in standard complex form:

\frac{25}{26} - \frac{5}{26} i

= \frac{25}{26} - \frac{5}{26} i

48 x^{3}

3 x^{2} + 54 x + 243

48/8

x, 8 x - 3 = 5

x, 8 x - 11 (x - 2) = - 8