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受欢迎的代数 >

((x-1))/(2-x)=i

解答

\frac{( x - 1 )}{2 - x} = i

解答

x = \frac{3}{2} + \frac{1}{2} i

求解步骤

\frac{( x - 1 )}{2 - x} = i

替代

x = a + bi

\frac{a + bi - 1}{2 - ( a + bi )} = i

在两边乘以

2 - a - ib

\frac{a + bi - 1}{2 - ( a + bi )} (2 - a - ib) = i (2 - a - ib)

乘开

(a - 1) + ib = b + i (2 - a)

复数仅在实部和虚部均相等时才相等改写为方程组:

[a - 1 = b b = 2 - a]

[a - 1 = b b = 2 - a] : a = \frac{3}{2}, b = \frac{1}{2}

x = a + bi

代回

x = \frac{3}{2} + \frac{1}{2} i

流行的例子

∣ z - 1 - i ∣ = 1

x^2+2(1+i)x-5(1+2i)=0

x^{2} + 2 (1 + i) x - 5 (1 + 2 i) = 0

i(x)=(640000)/(4-4)

i (x) = \frac{640000}{4 - 4}

s i f (x) = 2 - 3 x^{2}

a \cdot (a + bi) = 4 + 6 i