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

(x - 9 y)^{2}

\frac{6 - 8}{2}

3 (x yz)^{0}

(2 - 5) (2 + 5)

58 \cdot 2