What is (-1-9i)/(-2-9i) ?

The solution to (-1-9i)/(-2-9i) is 83/85+9/85 i

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simplify (-1-9i)/(-2-9i)

simplify

\frac{- 1 - 9 i}{- 2 - 9 i}

\frac{83}{85} + \frac{9}{85} i

Solution steps

\frac{- 1 - 9 i}{- 2 - 9 i}

Multiply by the conjugate

\frac{- 2 + 9 i}{- 2 + 9 i}

= \frac{( - 1 - 9 i ) ( - 2 + 9 i )}{( - 2 - 9 i ) ( - 2 + 9 i )}

Simplify

\frac{( - 1 - 9 i ) ( - 2 + 9 i )}{( - 2 - 9 i ) ( - 2 + 9 i )} : \frac{83 + 9 i}{85}

= \frac{83 + 9 i}{85}

Rewrite in standard complex form:

\frac{83}{85} + \frac{9}{85} i

= \frac{83}{85} + \frac{9}{85} i

- \frac{5}{1}

(- 3) + (- 5)

- 6 x y^{2} - x y^{2} - 3 x y^{2}

14 \times 5

- 10 + 1