What is 1/(1+4i)+1/(1+5i) ?

The solution to 1/(1+4i)+1/(1+5i) is 43/442-189/442 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(1+4i)+1/(1+5i)

simplify

\frac{1}{1 + 4 i} + \frac{1}{1 + 5 i}

\frac{43}{442} - \frac{189}{442} i

Solution steps

\frac{1}{1 + 4 i} + \frac{1}{1 + 5 i}

\frac{1}{1 + 4 i} = \frac{1 - 4 i}{17}

\frac{1}{1 + 5 i} = \frac{1 - 5 i}{26}

= \frac{1 - 4 i}{17} + \frac{1 - 5 i}{26}

Join

\frac{1 - 4 i}{17} + \frac{1 - 5 i}{26} : \frac{- 189 i + 43}{442}

= \frac{- 189 i + 43}{442}

Rewrite in standard complex form:

\frac{43}{442} - \frac{189}{442} i

= \frac{43}{442} - \frac{189}{442} i

32.5

\frac{1}{10} + \frac{2}{5}

x^{6} - 8 y^{3}

10 x^{2} + 3 - 9 x^{2} + 4 x + 1

450 \div \frac{7}{8}

What is 1/(1+4i)+1/(1+5i) ?
The solution to 1/(1+4i)+1/(1+5i) is 43/442-189/442 i