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

The solution to (-5-9i)/(9+8i) is -117/145-41/145 i

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

simplify

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

- \frac{117}{145} - \frac{41}{145} i

Solution steps

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

Multiply by the conjugate

\frac{9 - 8 i}{9 - 8 i}

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

Simplify

\frac{( - 5 - 9 i ) ( 9 - 8 i )}{( 9 + 8 i ) ( 9 - 8 i )} : \frac{- 117 - 41 i}{145}

= \frac{- 117 - 41 i}{145}

Apply the fraction rule:

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

= \frac{- 117}{145} + \frac{- 41}{145} i

Simplify

\frac{- 117}{145} + \frac{- 41}{145} i : - \frac{117}{145} - \frac{41}{145} i

= - \frac{117}{145} - \frac{41}{145} i

2 x (3 x + 2 y)

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