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受欢迎的代数 >

(3-2i)/(i-1)=(2-zi)/(4i)

解答

\frac{3 - 2 i}{i - 1} = \frac{2 - z i}{4 i}

解答

z = 10

求解步骤

\frac{3 - 2 i}{i - 1} = \frac{2 - z i}{4 i}

交换两边

\frac{2 - z i}{4 i} = \frac{3 - 2 i}{i - 1}

使用复数算数法则:

\frac{a + bi}{c + d i} = \frac{( c - d i ) ( a + bi )}{( c - d i ) ( c + d i )} = \frac{( a c + b d ) + ( b c - a d ) i}{c ^{2} + d ^{2}}

a = 3, b = - 2, c = - 1, d = 1

\frac{2 - z i}{4 i} = \frac{( 3 ( - 1 ) + ( - 2 ) \cdot 1 ) + ( - 2 ( - 1 ) - 3 \cdot 1 ) i}{( - 1 ) ^{2} + 1 ^{2}}

整理后得

\frac{2 - z i}{4 i} = \frac{- 5 - i}{2}

在两边乘以

4 i

2 - i z = 2 - 10 i

将

2

到右边

- i z = - 10 i

两边除以

- i

z = 10

流行的例子

(3x+2)+(x+1)=(2x+4)+(x+3)

(3 x + 2) + (x + 1) = (2 x + 4) + (x + 3)

solvefor x,y=3f

so l v e f or x, y = 3 f

2x^2-(x+1)^2+3x=x(x-2)+5

2 x^{2} - (x + 1)^{2} + 3 x = x (x - 2) + 5

(2x)/3-2= x/3+1

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

- 46 = 4 y - 5 (y + 7)