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

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

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

simplify

\frac{( 5 + 4 i )}{2 i}

2 - \frac{5}{2} i

Solution steps

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

Multiply by the conjugate

\frac{- i}{- i}

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

Simplify

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

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

Rewrite in standard complex form:

2 - \frac{5}{2} i

= 2 - \frac{5}{2} i

8 + 15

i (1 - i 3) (3 + i)

\frac{4}{8} + \frac{1}{4}

15 c^{2} d^{2} + 60 c^{2} d

\frac{x ^{2} + 5 x - 14}{2 - x}