simplify 3/(4-i)

Solution

simplify

\frac{3}{4 - i}

\frac{12}{17} + \frac{3}{17} i

Solution steps

\frac{3}{4 - i}

Multiply by the conjugate

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

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

Simplify

\frac{3 ( 4 + i )}{( 4 - i ) ( 4 + i )} : \frac{12 + 3 i}{17}

= \frac{12 + 3 i}{17}

Rewrite in standard complex form:

\frac{12}{17} + \frac{3}{17} i

= \frac{12}{17} + \frac{3}{17} i

\frac{4.2}{3 - \frac{2}{3}}

7 c + 105 + 4 c + 73

26 \cdot 6

(6.5)^{2}

- 2 x^{3} - x^{2} + x