What is (3+2i)/(5+i) ?

The solution to (3+2i)/(5+i) is 17/26+7/26 i

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simplify (3+2i)/(5+i)

simplify

\frac{3 + 2 i}{5 + i}

\frac{17}{26} + \frac{7}{26} i

Solution steps

\frac{3 + 2 i}{5 + i}

Multiply by the conjugate

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

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

Simplify

\frac{( 3 + 2 i ) ( 5 - i )}{( 5 + i ) ( 5 - i )} : \frac{17 + 7 i}{26}

= \frac{17 + 7 i}{26}

Rewrite in standard complex form:

\frac{17}{26} + \frac{7}{26} i

= \frac{17}{26} + \frac{7}{26} i

4 0^{3}

\frac{\frac{x ^{2} - 1}{9 x}}{\frac{x ^{2} + 7 x - 8}{4 x}}

\frac{1}{2} x^{3}

\frac{7 - 17 i}{2 - 3 i}

\frac{1}{x - 1}