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

The solution to (2+3i)/(1+4i) is 14/17-5/17 i

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

simplify

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

\frac{14}{17} - \frac{5}{17} i

Solution steps

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

Multiply by the conjugate

\frac{1 - 4 i}{1 - 4 i}

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

Simplify

\frac{( 2 + 3 i ) ( 1 - 4 i )}{( 1 + 4 i ) ( 1 - 4 i )} : \frac{14 - 5 i}{17}

= \frac{14 - 5 i}{17}

Rewrite in standard complex form:

\frac{14}{17} - \frac{5}{17} i

= \frac{14}{17} - \frac{5}{17} i

x^{2} + 2 x + 1 < 0

\frac{3 ( \frac{1}{3} ) ^{2}}{4} + \frac{4 ( \frac{1}{4} ) ^{2}}{6}

(x - 5)^{2} = 144

\frac{x ^{8}}{x ^{- 2}}

- \frac{3}{4} - [\frac{5}{8} + 3 - (\frac{3}{2} + 2) - \frac{1}{2}]