What is (5-6i)/(5+i) ?

The solution to (5-6i)/(5+i) is 19/26-35/26 i

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simplify (5-6i)/(5+i)

simplify

\frac{5 - 6 i}{5 + i}

\frac{19}{26} - \frac{35}{26} i

Solution steps

\frac{5 - 6 i}{5 + i}

Multiply by the conjugate

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

= \frac{( 5 - 6 i ) ( 5 - i )}{( 5 + i ) ( 5 - i )}

Simplify

\frac{( 5 - 6 i ) ( 5 - i )}{( 5 + i ) ( 5 - i )} : \frac{19 - 35 i}{26}

= \frac{19 - 35 i}{26}

Rewrite in standard complex form:

\frac{19}{26} - \frac{35}{26} i

= \frac{19}{26} - \frac{35}{26} i

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