What is ((3+4i))/(1+2i) ?

The solution to ((3+4i))/(1+2i) is 11/5-2/5 i

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simplify ((3+4i))/(1+2i)

simplify

\frac{( 3 + 4 i )}{1 + 2 i}

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

Solution steps

\frac{3 + 4 i}{1 + 2 i}

Multiply by the conjugate

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

= \frac{( 3 + 4 i ) ( 1 - 2 i )}{( 1 + 2 i ) ( 1 - 2 i )}

Simplify

\frac{( 3 + 4 i ) ( 1 - 2 i )}{( 1 + 2 i ) ( 1 - 2 i )} : \frac{11 - 2 i}{5}

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

Rewrite in standard complex form:

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

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

13 x - 5 - 6 x = 9

81 \cdot \frac{π}{180}

x^{2} + 4 x + 7

7 w + 8 = - 15

a^{2} b^{7} + 3 a^{3} b^{5} - a^{2} b^{4}