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

The solution to (3-2i)/(3+i) is 7/10-9/10 i

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

simplify

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

\frac{7}{10} - \frac{9}{10} i

Solution steps

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

Multiply by the conjugate

\frac{3 - i}{3 - i}

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

Simplify

\frac{( 3 - 2 i ) ( 3 - i )}{( 3 + i ) ( 3 - i )} : \frac{7 - 9 i}{10}

= \frac{7 - 9 i}{10}

Rewrite in standard complex form:

\frac{7}{10} - \frac{9}{10} i

= \frac{7}{10} - \frac{9}{10} i

\frac{100 - 50}{4}

+ x - x

(3 a + 4 b) (3 a - 4 b)

5 \cdot 30

2 x^{2} - 20 x + 50