What is (7+3i)/(2+i) ?

The solution to (7+3i)/(2+i) is 17/5-1/5 i

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simplify (7+3i)/(2+i)

simplify

\frac{7 + 3 i}{2 + i}

\frac{17}{5} - \frac{1}{5} i

Solution steps

\frac{7 + 3 i}{2 + i}

Multiply by the conjugate

\frac{2 - i}{2 - i}

= \frac{( 7 + 3 i ) ( 2 - i )}{( 2 + i ) ( 2 - i )}

Simplify

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

= \frac{17 - i}{5}

Rewrite in standard complex form:

\frac{17}{5} - \frac{1}{5} i

= \frac{17}{5} - \frac{1}{5} i

814 \cdot 512

\frac{1}{1 1 ^{6}}

\frac{60}{10} (10 - 8)

- \frac{\frac{1}{2}}{2}

\frac{x ^{3} + 2 x ^{2} - 5 x - 6}{x - 2}