What is 1/(1+3i)+1/(1+7i) ?

The solution to 1/(1+3i)+1/(1+7i) is 3/25-11/25 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(1+3i)+1/(1+7i)

simplify

\frac{1}{1 + 3 i} + \frac{1}{1 + 7 i}

\frac{3}{25} - \frac{11}{25} i

Solution steps

\frac{1}{1 + 3 i} + \frac{1}{1 + 7 i}

\frac{1}{1 + 3 i} = \frac{1 - 3 i}{10}

\frac{1}{1 + 7 i} = \frac{1 - 7 i}{50}

= \frac{1 - 3 i}{10} + \frac{1 - 7 i}{50}

Join

\frac{1 - 3 i}{10} + \frac{1 - 7 i}{50} : \frac{- 11 i + 3}{25}

= \frac{- 11 i + 3}{25}

Rewrite in standard complex form:

\frac{3}{25} - \frac{11}{25} i

= \frac{3}{25} - \frac{11}{25} i

\frac{25}{65}

\frac{5 + i}{6 + i}

82 \cdot 510

(8 x - 10) - (x^{2} - 2 x)

(- 6 c^{- 3} d^{9}) (2 c^{4} d^{- 5})