What is 1/(1+2i)+1/(1+7i) ?

The solution to 1/(1+2i)+1/(1+7i) is 11/50-27/50 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(1+2i)+1/(1+7i)

simplify

\frac{1}{1 + 2 i} + \frac{1}{1 + 7 i}

\frac{11}{50} - \frac{27}{50} i

Solution steps

\frac{1}{1 + 2 i} + \frac{1}{1 + 7 i}

\frac{1}{1 + 2 i} = \frac{1 - 2 i}{5}

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

= \frac{1 - 2 i}{5} + \frac{1 - 7 i}{50}

Join

\frac{1 - 2 i}{5} + \frac{1 - 7 i}{50} : \frac{- 27 i + 11}{50}

= \frac{- 27 i + 11}{50}

Rewrite in standard complex form:

\frac{11}{50} - \frac{27}{50} i

= \frac{11}{50} - \frac{27}{50} i

4 \div \frac{7}{6}

(a^{x} + b^{n}) (a^{x} - b^{n})

2^{0.25}

(x^{- 3} y^{- 2} z^{0})^{- 2}

(7 a - 3 b) - (4 a + b + a - 3 b)