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Popular >

simplify 2/(4+i)

Solution

simplify

\frac{2}{4 + i}

Solution

\frac{8}{17} - \frac{2}{17} i

Solution steps

\frac{2}{4 + i}

Multiply by the conjugate

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

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

Simplify

\frac{2 ( 4 - i )}{( 4 + i ) ( 4 - i )} : \frac{8 - 2 i}{17}

= \frac{8 - 2 i}{17}

Rewrite in standard complex form:

\frac{8}{17} - \frac{2}{17} i

= \frac{8}{17} - \frac{2}{17} i

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Frequently Asked Questions (FAQ)

What is 2/(4+i) ?
The solution to 2/(4+i) is 8/17-2/17 i