What is ((4-i))/((3+4i)) ?

The solution to ((4-i))/((3+4i)) is 8/25-19/25 i

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simplify ((4-i))/((3+4i))

simplify

\frac{( 4 - i )}{( 3 + 4 i )}

\frac{8}{25} - \frac{19}{25} i

Solution steps

\frac{4 - i}{3 + 4 i}

Multiply by the conjugate

\frac{3 - 4 i}{3 - 4 i}

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

Simplify

\frac{( 4 - i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )} : \frac{8 - 19 i}{25}

= \frac{8 - 19 i}{25}

Rewrite in standard complex form:

\frac{8}{25} - \frac{19}{25} i

= \frac{8}{25} - \frac{19}{25} i

3 (x + 1) 2 = 108

\frac{3}{2 2} + \frac{5 2}{4}

25 m p^{2} - 45 m p

0!

(75)^{2}