(x+2y)i+2x=2+3i

解答

(x + 2 y) i + 2 x = 2 + 3 i

x = 1, y = 1

求解步骤

(x + 2 y) i + 2 x = 2 + 3 i

将

(x + 2 y) i + 2 x

改写成标准复数形式:

2 x + (x + 2 y) i

2 x + (x + 2 y) i = 2 + 3 i

复数仅在实部和虚部均相等时才相等改写为方程组:

[2 x = 2 x + 2 y = 3]

[2 x = 2 x + 2 y = 3] : x = 1, y = 1

x = 1, y = 1

so l v e f or x, z = \frac{x + 4 i}{1 - x i}

\frac{z - 1}{z} = 2 + i

(a + bi) = (1 + i) \cdot (a - bi) + 3 - 2 i

- \frac{1}{z - 2 i} + 1 - z = 0

(ab + 6) + (- 2 a + 3 b) i = 12