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Popular >

simplify 5/(2-4i)

Solution

simplify

\frac{5}{2 - 4 i}

Solution

\frac{1}{2} + i

Solution steps

\frac{5}{2 - 4 i}

Multiply by the conjugate

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

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

Simplify

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

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

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

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

Simplify

\frac{10}{20} + \frac{20}{20} i : \frac{1}{2} + i

= \frac{1}{2} + i

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Frequently Asked Questions (FAQ)

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