What is (-1+2i)/(-9+7i) ?

The solution to (-1+2i)/(-9+7i) is 23/130-11/130 i

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simplify (-1+2i)/(-9+7i)

simplify

\frac{- 1 + 2 i}{- 9 + 7 i}

\frac{23}{130} - \frac{11}{130} i

Solution steps

\frac{- 1 + 2 i}{- 9 + 7 i}

Multiply by the conjugate

\frac{- 9 - 7 i}{- 9 - 7 i}

= \frac{( - 1 + 2 i ) ( - 9 - 7 i )}{( - 9 + 7 i ) ( - 9 - 7 i )}

Simplify

\frac{( - 1 + 2 i ) ( - 9 - 7 i )}{( - 9 + 7 i ) ( - 9 - 7 i )} : \frac{23 - 11 i}{130}

= \frac{23 - 11 i}{130}

Rewrite in standard complex form:

\frac{23}{130} - \frac{11}{130} i

= \frac{23}{130} - \frac{11}{130} i

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