What is (3+4i)/(2-i) ?

The solution to (3+4i)/(2-i) is 2/5+11/5 i

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simplify (3+4i)/(2-i)

simplify

\frac{3 + 4 i}{2 - i}

\frac{2}{5} + \frac{11}{5} i

Solution steps

\frac{3 + 4 i}{2 - i}

Multiply by the conjugate

\frac{2 + i}{2 + i}

= \frac{( 3 + 4 i ) ( 2 + i )}{( 2 - i ) ( 2 + i )}

Simplify

\frac{( 3 + 4 i ) ( 2 + i )}{( 2 - i ) ( 2 + i )} : \frac{2 + 11 i}{5}

= \frac{2 + 11 i}{5}

Rewrite in standard complex form:

\frac{2}{5} + \frac{11}{5} i

= \frac{2}{5} + \frac{11}{5} i

2 \cdot 1.5

- 15 y + 7 + 17 y = 2 y + 70

\frac{\frac{a}{b}}{c}

\frac{3 x ^{3} y ^{7}}{x ^{3} y ^{5}}

\frac{r}{3} - 7 = - 1