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Popular >

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

Solution

simplify

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

Solution

- 1 + \frac{1}{2} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{5 i ( 2 + 4 i )}{( 2 - 4 i ) ( 2 + 4 i )} : \frac{10 i - 20}{20}

= \frac{10 i - 20}{20}

Rewrite in standard complex form:

- 1 + \frac{1}{2} i

= - 1 + \frac{1}{2} i

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Frequently Asked Questions (FAQ)

What is (5i)/(2-4i) ?
The solution to (5i)/(2-4i) is -1+1/2 i