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Popular >

simplify (5i)/(4+i)

Solution

simplify

\frac{5 i}{4 + i}

Solution

\frac{5}{17} + \frac{20}{17} i

Solution steps

\frac{5 i}{4 + i}

Multiply by the conjugate

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

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

Simplify

\frac{5 i ( 4 - i )}{( 4 + i ) ( 4 - i )} : \frac{20 i + 5}{17}

= \frac{20 i + 5}{17}

Rewrite in standard complex form:

\frac{5}{17} + \frac{20}{17} i

= \frac{5}{17} + \frac{20}{17} i

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Frequently Asked Questions (FAQ)

What is (5i)/(4+i) ?
The solution to (5i)/(4+i) is 5/17+20/17 i