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

The solution to (3-2i)/(4+5i) is 2/41-23/41 i

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

simplify

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

\frac{2}{41} - \frac{23}{41} i

Solution steps

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

Multiply by the conjugate

\frac{4 - 5 i}{4 - 5 i}

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

Simplify

\frac{( 3 - 2 i ) ( 4 - 5 i )}{( 4 + 5 i ) ( 4 - 5 i )} : \frac{2 - 23 i}{41}

= \frac{2 - 23 i}{41}

Rewrite in standard complex form:

\frac{2}{41} - \frac{23}{41} i

= \frac{2}{41} - \frac{23}{41} i

25 + x^{2} = 38

10 x^{5} + 5 x^{3} - 14 x^{2} - 7

a^{2} - 25

\frac{3}{( - \frac{1}{2} ) ^{2}}

5 x - 6 > 9