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

The solution to (6-5i)/(6+i) is 31/37-36/37 i

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

simplify

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

\frac{31}{37} - \frac{36}{37} i

Solution steps

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

Multiply by the conjugate

\frac{6 - i}{6 - i}

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

Simplify

\frac{( 6 - 5 i ) ( 6 - i )}{( 6 + i ) ( 6 - i )} : \frac{31 - 36 i}{37}

= \frac{31 - 36 i}{37}

Rewrite in standard complex form:

\frac{31}{37} - \frac{36}{37} i

= \frac{31}{37} - \frac{36}{37} i

w^{8}

\frac{- 1 + - 7}{- 2}

\frac{16}{2}

\frac{x}{2 x}

\frac{8}{3} + \frac{4}{3}