What is (6i)/(9+2i) ?

The solution to (6i)/(9+2i) is 12/85+54/85 i

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simplify (6i)/(9+2i)

simplify

\frac{6 i}{9 + 2 i}

\frac{12}{85} + \frac{54}{85} i

Solution steps

\frac{6 i}{9 + 2 i}

Multiply by the conjugate

\frac{9 - 2 i}{9 - 2 i}

= \frac{6 i ( 9 - 2 i )}{( 9 + 2 i ) ( 9 - 2 i )}

Simplify

\frac{6 i ( 9 - 2 i )}{( 9 + 2 i ) ( 9 - 2 i )} : \frac{54 i + 12}{85}

= \frac{54 i + 12}{85}

Rewrite in standard complex form:

\frac{12}{85} + \frac{54}{85} i

= \frac{12}{85} + \frac{54}{85} i

3 v^{2} (2 v + 4 w x)

- (x + 2) (x - 2)

\frac{6}{5} \cdot \frac{7}{4}

(x - y)^{2}

\frac{18}{22}