What is (-8+9i)/(-7-i) ?

The solution to (-8+9i)/(-7-i) is 47/50-71/50 i

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simplify (-8+9i)/(-7-i)

simplify

\frac{- 8 + 9 i}{- 7 - i}

\frac{47}{50} - \frac{71}{50} i

Solution steps

\frac{- 8 + 9 i}{- 7 - i}

Multiply by the conjugate

\frac{- 7 + i}{- 7 + i}

= \frac{( - 8 + 9 i ) ( - 7 + i )}{( - 7 - i ) ( - 7 + i )}

Simplify

\frac{( - 8 + 9 i ) ( - 7 + i )}{( - 7 - i ) ( - 7 + i )} : \frac{47 - 71 i}{50}

= \frac{47 - 71 i}{50}

Rewrite in standard complex form:

\frac{47}{50} - \frac{71}{50} i

= \frac{47}{50} - \frac{71}{50} i

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