What is 5/(3-4i)+(10)/(4+3i) ?

The solution to 5/(3-4i)+(10)/(4+3i) is 11/5-2/5 i

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simplify 5/(3-4i)+(10)/(4+3i)

simplify

\frac{5}{3 - 4 i} + \frac{10}{4 + 3 i}

\frac{11}{5} - \frac{2}{5} i

Solution steps

\frac{5}{3 - 4 i} + \frac{10}{4 + 3 i}

\frac{5}{3 - 4 i} = \frac{15 + 20 i}{25}

\frac{10}{4 + 3 i} = \frac{40 - 30 i}{25}

= \frac{15 + 20 i}{25} + \frac{40 - 30 i}{25}

Join

\frac{15 + 20 i}{25} + \frac{40 - 30 i}{25} : \frac{- 2 i + 11}{5}

= \frac{- 2 i + 11}{5}

Rewrite in standard complex form:

\frac{11}{5} - \frac{2}{5} i

= \frac{11}{5} - \frac{2}{5} i

9 175 x^{2} - 3 x 7

\frac{8}{9} + \frac{5}{12}

\frac{5}{49}

- \frac{8}{3} + 5

\frac{7}{2 10}

What is 5/(3-4i)+(10)/(4+3i) ?
The solution to 5/(3-4i)+(10)/(4+3i) is 11/5-2/5 i