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Popular >

simplify (4+i)/(4-i)

Solution

simplify

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

Solution

\frac{15}{17} + \frac{8}{17} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 4 + i ) ( 4 + i )}{( 4 - i ) ( 4 + i )} : \frac{8 i + 15}{17}

= \frac{8 i + 15}{17}

Rewrite in standard complex form:

\frac{15}{17} + \frac{8}{17} i

= \frac{15}{17} + \frac{8}{17} i

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Frequently Asked Questions (FAQ)

What is (4+i)/(4-i) ?
The solution to (4+i)/(4-i) is 15/17+8/17 i