What is (3+5i)/(4-9i) ?

The solution to (3+5i)/(4-9i) is -33/97+47/97 i

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simplify (3+5i)/(4-9i)

simplify

\frac{3 + 5 i}{4 - 9 i}

- \frac{33}{97} + \frac{47}{97} i

Solution steps

\frac{3 + 5 i}{4 - 9 i}

Multiply by the conjugate

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

= \frac{( 3 + 5 i ) ( 4 + 9 i )}{( 4 - 9 i ) ( 4 + 9 i )}

Simplify

\frac{( 3 + 5 i ) ( 4 + 9 i )}{( 4 - 9 i ) ( 4 + 9 i )} : \frac{- 33 + 47 i}{97}

= \frac{- 33 + 47 i}{97}

Rewrite in standard complex form:

- \frac{33}{97} + \frac{47}{97} i

= - \frac{33}{97} + \frac{47}{97} i

125 b^{2} - 180

- \frac{1 ^{2}}{2}

5 (2 - w) - w = 2 (w + 1)

lo g_{\frac{1}{3}} (9)

\frac{x ^{- 4}}{x ^{- 2}}