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Popular >

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

Solution

simplify

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

Solution

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

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Frequently Asked Questions (FAQ)

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