What is 1/(1+4i)+1/(1+6i) ?

The solution to 1/(1+4i)+1/(1+6i) is 54/629-250/629 i

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simplify 1/(1+4i)+1/(1+6i)

simplify

\frac{1}{1 + 4 i} + \frac{1}{1 + 6 i}

\frac{54}{629} - \frac{250}{629} i

Solution steps

\frac{1}{1 + 4 i} + \frac{1}{1 + 6 i}

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

\frac{1}{1 + 6 i} = \frac{1 - 6 i}{37}

= \frac{1 - 4 i}{17} + \frac{1 - 6 i}{37}

Join

\frac{1 - 4 i}{17} + \frac{1 - 6 i}{37} : \frac{- 250 i + 54}{629}

= \frac{- 250 i + 54}{629}

Rewrite in standard complex form:

\frac{54}{629} - \frac{250}{629} i

= \frac{54}{629} - \frac{250}{629} i

(8 x^{6})^{\frac{- 2}{3}}

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(x^{2} - 7)^{2} - 7

6 x^{2} y + 2 x

\frac{5 ( h ^{4} ) ^{2}}{20 h ^{9}}

What is 1/(1+4i)+1/(1+6i) ?
The solution to 1/(1+4i)+1/(1+6i) is 54/629-250/629 i