What is (-3-9i)/(5-8i) ?

The solution to (-3-9i)/(5-8i) is 57/89-69/89 i

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simplify (-3-9i)/(5-8i)

simplify

\frac{- 3 - 9 i}{5 - 8 i}

\frac{57}{89} - \frac{69}{89} i

Solution steps

\frac{- 3 - 9 i}{5 - 8 i}

Multiply by the conjugate

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

= \frac{( - 3 - 9 i ) ( 5 + 8 i )}{( 5 - 8 i ) ( 5 + 8 i )}

Simplify

\frac{( - 3 - 9 i ) ( 5 + 8 i )}{( 5 - 8 i ) ( 5 + 8 i )} : \frac{57 - 69 i}{89}

= \frac{57 - 69 i}{89}

Rewrite in standard complex form:

\frac{57}{89} - \frac{69}{89} i

= \frac{57}{89} - \frac{69}{89} i

x (x + 2 + 2)

7 (12.5) - 80

4 p^{7} q^{2} + p^{4} q^{2}

(b^{- 2})^{- 8}

\frac{8}{8} \div \frac{6}{9}