What is (9i)/(-4+2i) ?

The solution to (9i)/(-4+2i) is 9/10-9/5 i

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simplify (9i)/(-4+2i)

simplify

\frac{9 i}{- 4 + 2 i}

\frac{9}{10} - \frac{9}{5} i

Solution steps

\frac{9 i}{- 4 + 2 i}

Multiply by the conjugate

\frac{- 4 - 2 i}{- 4 - 2 i}

= \frac{9 i ( - 4 - 2 i )}{( - 4 + 2 i ) ( - 4 - 2 i )}

Simplify

\frac{9 i ( - 4 - 2 i )}{( - 4 + 2 i ) ( - 4 - 2 i )} : \frac{- 36 i + 18}{20}

= \frac{- 36 i + 18}{20}

Rewrite in standard complex form:

\frac{9}{10} - \frac{9}{5} i

= \frac{9}{10} - \frac{9}{5} i

4 y^{2} = - 12 y

\frac{2 ( \frac{8}{15} )}{1 - ( \frac{8}{15} ) ^{2}}

2 x + 4 = 5 x - 2

\frac{2}{3} \times \frac{2}{3}

4 x^{2} - y^{6}