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Popular >

simplify (5-i)/(5+i)

Solution

simplify

\frac{5 - i}{5 + i}

Solution

\frac{12}{13} - \frac{5}{13} i

Solution steps

\frac{5 - i}{5 + i}

Multiply by the conjugate

\frac{5 - i}{5 - i}

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

Simplify

\frac{( 5 - i ) ( 5 - i )}{( 5 + i ) ( 5 - i )} : \frac{- 10 i + 24}{26}

= \frac{- 10 i + 24}{26}

Rewrite in standard complex form:

\frac{12}{13} - \frac{5}{13} i

= \frac{12}{13} - \frac{5}{13} i

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Frequently Asked Questions (FAQ)

What is (5-i)/(5+i) ?
The solution to (5-i)/(5+i) is 12/13-5/13 i