What is (3+2i)/(5-4i) ?

The solution to (3+2i)/(5-4i) is 7/41+22/41 i

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simplify (3+2i)/(5-4i)

simplify

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

\frac{7}{41} + \frac{22}{41} i

Solution steps

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

Multiply by the conjugate

\frac{5 + 4 i}{5 + 4 i}

= \frac{( 3 + 2 i ) ( 5 + 4 i )}{( 5 - 4 i ) ( 5 + 4 i )}

Simplify

\frac{( 3 + 2 i ) ( 5 + 4 i )}{( 5 - 4 i ) ( 5 + 4 i )} : \frac{7 + 22 i}{41}

= \frac{7 + 22 i}{41}

Rewrite in standard complex form:

\frac{7}{41} + \frac{22}{41} i

= \frac{7}{41} + \frac{22}{41} i

\frac{4 ( v ^{3} ) ^{2}}{2 v ^{5}}

3 \frac{1}{4} - 2 \frac{7}{8}

\frac{- 14}{2}

(x^{3} + 1)^{3} + 1

96 x y^{4}