化简 (1+i)/i-3/(4-i)

解答

化简

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

\frac{5}{17} - \frac{20}{17} i

求解步骤

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

\frac{1 + i}{i} = - i + 1

\frac{3}{4 - i} = \frac{12 + 3 i}{17}

= - i + 1 - \frac{12 + 3 i}{17}

合并

- i + 1 - \frac{12 + 3 i}{17} : \frac{- 20 i + 5}{17}

= \frac{- 20 i + 5}{17}

Rewrite in standard complex form:

\frac{5}{17} - \frac{20}{17} i

= \frac{5}{17} - \frac{20}{17} i

s im pl i f y \frac{7}{4 - 9 i}

z^{2} - 6 z + 9 = - 4

f a c t or - 4 x^{2} + 36

f a c t or x^{3} - x^{2} + x + 3

\frac{2}{7} (\frac{665}{666}) + \frac{1}{9} = \frac{12}{5} (\frac{668}{666}) - \frac{14}{7}