What is (3+2i)/(5-3i) ?

The solution to (3+2i)/(5-3i) is 9/34+19/34 i

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simplify (3+2i)/(5-3i)

simplify

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

\frac{9}{34} + \frac{19}{34} i

Solution steps

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

Multiply by the conjugate

\frac{5 + 3 i}{5 + 3 i}

= \frac{( 3 + 2 i ) ( 5 + 3 i )}{( 5 - 3 i ) ( 5 + 3 i )}

Simplify

\frac{( 3 + 2 i ) ( 5 + 3 i )}{( 5 - 3 i ) ( 5 + 3 i )} : \frac{9 + 19 i}{34}

= \frac{9 + 19 i}{34}

Rewrite in standard complex form:

\frac{9}{34} + \frac{19}{34} i

= \frac{9}{34} + \frac{19}{34} i

\frac{3 x ^{3} + 2 x ^{2}}{x ^{2} - x}

(3 x^{2} - 7)^{2}

\frac{7 x ^{3}}{3}

14 x^{12} x^{9}

(v - 1) (3 v - 3)