What is (7-8i)/(-5+3i) ?

The solution to (7-8i)/(-5+3i) is -59/34+19/34 i

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simplify (7-8i)/(-5+3i)

simplify

\frac{7 - 8 i}{- 5 + 3 i}

- \frac{59}{34} + \frac{19}{34} i

Solution steps

\frac{7 - 8 i}{- 5 + 3 i}

Multiply by the conjugate

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

= \frac{( 7 - 8 i ) ( - 5 - 3 i )}{( - 5 + 3 i ) ( - 5 - 3 i )}

Simplify

\frac{( 7 - 8 i ) ( - 5 - 3 i )}{( - 5 + 3 i ) ( - 5 - 3 i )} : \frac{- 59 + 19 i}{34}

= \frac{- 59 + 19 i}{34}

Rewrite in standard complex form:

- \frac{59}{34} + \frac{19}{34} i

= - \frac{59}{34} + \frac{19}{34} i

- 12 \div 3

10 0^{0}

(i + 3) + i (2 i - 4)

e^{l n (x) + c}

\frac{5 + 2 3}{4 - 3}