What is (4-10i)/(-9-4i) ?

The solution to (4-10i)/(-9-4i) is 4/97+106/97 i

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simplify (4-10i)/(-9-4i)

simplify

\frac{4 - 10 i}{- 9 - 4 i}

\frac{4}{97} + \frac{106}{97} i

Solution steps

\frac{4 - 10 i}{- 9 - 4 i}

Multiply by the conjugate

\frac{- 9 + 4 i}{- 9 + 4 i}

= \frac{( 4 - 10 i ) ( - 9 + 4 i )}{( - 9 - 4 i ) ( - 9 + 4 i )}

Simplify

\frac{( 4 - 10 i ) ( - 9 + 4 i )}{( - 9 - 4 i ) ( - 9 + 4 i )} : \frac{4 + 106 i}{97}

= \frac{4 + 106 i}{97}

Rewrite in standard complex form:

\frac{4}{97} + \frac{106}{97} i

= \frac{4}{97} + \frac{106}{97} i

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