(x+iy)/(x-iy)=-i

解答

\frac{x + i y}{x - i y} = - i

无解

求解步骤

\frac{x + i y}{x - i y} = - i

在两边乘以

x - i y

\frac{x + i y}{x - i y} (x - i y) = - i (x - i y)

化简

x + i y = - y - i x

复数仅在实部和虚部均相等时才相等改写为方程组:

[x = - y y = - x]

[x = - y y = - x] : 无解

无解

(a + i) (b - 3 i) = 7 - 11 i

(1 - i) z + w = 3 + 2 i

i = \frac{e}{r}

(3 x - 4 y) + (6 x + 2 y) i = 5 i

z^{2} = 1 - 3 i