What is (3-2i)/(1+i) ?

The solution to (3-2i)/(1+i) is 1/2-5/2 i

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simplify (3-2i)/(1+i)

simplify

\frac{3 - 2 i}{1 + i}

\frac{1}{2} - \frac{5}{2} i

Solution steps

\frac{3 - 2 i}{1 + i}

Multiply by the conjugate

\frac{1 - i}{1 - i}

= \frac{( 3 - 2 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )}

Simplify

\frac{( 3 - 2 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{1 - 5 i}{2}

= \frac{1 - 5 i}{2}

Rewrite in standard complex form:

\frac{1}{2} - \frac{5}{2} i

= \frac{1}{2} - \frac{5}{2} i

\frac{51}{85}

- \frac{3}{7} - \frac{11}{49}

2 b^{2} - 10 b - 48

- 6 - 14

- 4 x - 8