What is (5+6i)/(-1+8i) ?

The solution to (5+6i)/(-1+8i) is 43/65-46/65 i

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simplify (5+6i)/(-1+8i)

simplify

\frac{5 + 6 i}{- 1 + 8 i}

\frac{43}{65} - \frac{46}{65} i

Solution steps

\frac{5 + 6 i}{- 1 + 8 i}

Multiply by the conjugate

\frac{- 1 - 8 i}{- 1 - 8 i}

= \frac{( 5 + 6 i ) ( - 1 - 8 i )}{( - 1 + 8 i ) ( - 1 - 8 i )}

Simplify

\frac{( 5 + 6 i ) ( - 1 - 8 i )}{( - 1 + 8 i ) ( - 1 - 8 i )} : \frac{43 - 46 i}{65}

= \frac{43 - 46 i}{65}

Rewrite in standard complex form:

\frac{43}{65} - \frac{46}{65} i

= \frac{43}{65} - \frac{46}{65} i

\frac{2}{3} \times 1

60 + 10 b

\frac{1}{\frac{3}{4}}

\frac{x ^{2} - 10 x + 21}{x ^{2} - 9}

(x + 1) (2 x + 10)