What is (-8-5i)/(5-3i) ?

The solution to (-8-5i)/(5-3i) is -25/34-49/34 i

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simplify (-8-5i)/(5-3i)

simplify

\frac{- 8 - 5 i}{5 - 3 i}

- \frac{25}{34} - \frac{49}{34} i

Solution steps

\frac{- 8 - 5 i}{5 - 3 i}

Multiply by the conjugate

\frac{5 + 3 i}{5 + 3 i}

= \frac{( - 8 - 5 i ) ( 5 + 3 i )}{( 5 - 3 i ) ( 5 + 3 i )}

Simplify

\frac{( - 8 - 5 i ) ( 5 + 3 i )}{( 5 - 3 i ) ( 5 + 3 i )} : \frac{- 25 - 49 i}{34}

= \frac{- 25 - 49 i}{34}

Apply the fraction rule:

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

= \frac{- 25}{34} + \frac{- 49}{34} i

Simplify

\frac{- 25}{34} + \frac{- 49}{34} i : - \frac{25}{34} - \frac{49}{34} i

= - \frac{25}{34} - \frac{49}{34} i

\frac{1 - 0.95}{2}

\frac{1 - \frac{2}{2}}{2}

(\frac{e ^{x} + e ^{- x}}{2})^{2}

(x + 6) (x - 2) (x - 3)

- 5 \div 5