化简 (7-3i)/(5-2i)

解答

化简

\frac{7 - 3 i}{5 - 2 i}

\frac{41}{29} - \frac{1}{29} i

求解步骤

\frac{7 - 3 i}{5 - 2 i}

乘以共轭根式

\frac{5 + 2 i}{5 + 2 i}

= \frac{( 7 - 3 i ) ( 5 + 2 i )}{( 5 - 2 i ) ( 5 + 2 i )}

化简

\frac{( 7 - 3 i ) ( 5 + 2 i )}{( 5 - 2 i ) ( 5 + 2 i )} : \frac{41 - i}{29}

= \frac{41 - i}{29}

Rewrite in standard complex form:

\frac{41}{29} - \frac{1}{29} i

= \frac{41}{29} - \frac{1}{29} i

3 x^{2} + \frac{3 x}{2} = \frac{x}{3} - x + \frac{37}{3} + x^{2}

- 8 = 8 (- 3 + a)

15 h + 30 < 10 h - 45

∣ 3 x + 4 ∣ = ∣ 5 x - 3 ∣

s im pl i f y 4 \frac{81}{625}