What is (6-7i)/(6+i) ?

The solution to (6-7i)/(6+i) is 29/37-48/37 i

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simplify (6-7i)/(6+i)

simplify

\frac{6 - 7 i}{6 + i}

\frac{29}{37} - \frac{48}{37} i

Solution steps

\frac{6 - 7 i}{6 + i}

Multiply by the conjugate

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

= \frac{( 6 - 7 i ) ( 6 - i )}{( 6 + i ) ( 6 - i )}

Simplify

\frac{( 6 - 7 i ) ( 6 - i )}{( 6 + i ) ( 6 - i )} : \frac{29 - 48 i}{37}

= \frac{29 - 48 i}{37}

Rewrite in standard complex form:

\frac{29}{37} - \frac{48}{37} i

= \frac{29}{37} - \frac{48}{37} i

+ 4 x^{2} + 12 x - 16

\frac{7}{45} \div \frac{42}{9}

- 2 i - 12

3 \times 2 \times 1

(2 x + 6) (x - 6)