What is (5+4i)/(4-i) ?

The solution to (5+4i)/(4-i) is 16/17+21/17 i

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simplify (5+4i)/(4-i)

simplify

\frac{5 + 4 i}{4 - i}

\frac{16}{17} + \frac{21}{17} i

Solution steps

\frac{5 + 4 i}{4 - i}

Multiply by the conjugate

\frac{4 + i}{4 + i}

= \frac{( 5 + 4 i ) ( 4 + i )}{( 4 - i ) ( 4 + i )}

Simplify

\frac{( 5 + 4 i ) ( 4 + i )}{( 4 - i ) ( 4 + i )} : \frac{16 + 21 i}{17}

= \frac{16 + 21 i}{17}

Rewrite in standard complex form:

\frac{16}{17} + \frac{21}{17} i

= \frac{16}{17} + \frac{21}{17} i

\frac{\frac{1}{1}}{4}

2 (- \frac{1}{2}) + 3

\frac{6 x}{3} + \frac{4 x}{5}

\frac{9 ( y + 2 )}{3 \cdot 2 + 1}

v^{3}