What is (5-i)/(3+4i) ?

The solution to (5-i)/(3+4i) is 11/25-23/25 i

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simplify (5-i)/(3+4i)

simplify

\frac{5 - i}{3 + 4 i}

\frac{11}{25} - \frac{23}{25} i

Solution steps

\frac{5 - i}{3 + 4 i}

Multiply by the conjugate

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

= \frac{( 5 - i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )}

Simplify

\frac{( 5 - i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )} : \frac{11 - 23 i}{25}

= \frac{11 - 23 i}{25}

Rewrite in standard complex form:

\frac{11}{25} - \frac{23}{25} i

= \frac{11}{25} - \frac{23}{25} i

3 m + 12 > 33 and - 4 m \geq 32

\frac{5}{x + 2} = 7

\frac{x + 2}{3 + 2 x} \leq 5

2 x^{2} - 3 x - 5 > 0

lo g_{4} (60) - lo g_{4} (4) + lo g_{4} (x)