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

The solution to (1+4i)/(3+2i) is 11/13+10/13 i

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

simplify

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

\frac{11}{13} + \frac{10}{13} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 1 + 4 i ) ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )} : \frac{11 + 10 i}{13}

= \frac{11 + 10 i}{13}

Rewrite in standard complex form:

\frac{11}{13} + \frac{10}{13} i

= \frac{11}{13} + \frac{10}{13} i

0 = - 16.1 (x^{2}) + 50 (x) + 8.5

2 - \frac{1}{6}

\frac{4}{5} + \frac{1}{3}

4 w^{2} - 320 w + 3000 = 0

(\frac{( a + b )}{2})^{2}