What is (1+2i)/(5+3i) ?

The solution to (1+2i)/(5+3i) is 11/34+7/34 i

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simplify (1+2i)/(5+3i)

simplify

\frac{1 + 2 i}{5 + 3 i}

\frac{11}{34} + \frac{7}{34} i

Solution steps

\frac{1 + 2 i}{5 + 3 i}

Multiply by the conjugate

\frac{5 - 3 i}{5 - 3 i}

= \frac{( 1 + 2 i ) ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )}

Simplify

\frac{( 1 + 2 i ) ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )} : \frac{11 + 7 i}{34}

= \frac{11 + 7 i}{34}

Rewrite in standard complex form:

\frac{11}{34} + \frac{7}{34} i

= \frac{11}{34} + \frac{7}{34} i

(\frac{4 i}{n})^{2}

(x - 4)^{2} + 2

(x - 4)^{2} - 9

6 x + 18 y - 9 z