What is (1+8i)/(-5-9i) ?

The solution to (1+8i)/(-5-9i) is -77/106-31/106 i

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simplify (1+8i)/(-5-9i)

simplify

\frac{1 + 8 i}{- 5 - 9 i}

- \frac{77}{106} - \frac{31}{106} i

Solution steps

\frac{1 + 8 i}{- 5 - 9 i}

Multiply by the conjugate

\frac{- 5 + 9 i}{- 5 + 9 i}

= \frac{( 1 + 8 i ) ( - 5 + 9 i )}{( - 5 - 9 i ) ( - 5 + 9 i )}

Simplify

\frac{( 1 + 8 i ) ( - 5 + 9 i )}{( - 5 - 9 i ) ( - 5 + 9 i )} : \frac{- 77 - 31 i}{106}

= \frac{- 77 - 31 i}{106}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 77}{106} + \frac{- 31}{106} i

Simplify

\frac{- 77}{106} + \frac{- 31}{106} i : - \frac{77}{106} - \frac{31}{106} i

= - \frac{77}{106} - \frac{31}{106} i

\frac{100}{121}

(x - 1)^{2} (x - 3)

(- \frac{1}{8})^{\frac{2}{3}}

\frac{2 y - 1}{y} + \frac{2 x - 1}{x}

0 \div 6