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受欢迎的代数 >

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

解答

\frac{3 - ( x - 1 ) ( x - 2 )}{x} = 1 - x

解答

x = - \frac{1}{2}

+1

十进制

x = - 0.5

求解步骤

\frac{3 - ( x - 1 ) ( x - 2 )}{x} = 1 - x

化简

\frac{3 - ( x - 1 ) ( x - 2 )}{x} : \frac{- x ^{2} + 3 x + 1}{x}

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

在两边乘以

x

- x^{2} + 3 x + 1 = x - x^{2}

两边加上

x^{2}

- x^{2} + 3 x + 1 + x^{2} = x - x^{2} + x^{2}

化简

3 x + 1 = x

将

1

到右边

3 x = x - 1

将

x

para o lado esquerdo

2 x = - 1

两边除以

2

x = - \frac{1}{2}

验证解

找到无定义的点（奇点）:

x = 0

将不在定义域的点与解相综合:

x = - \frac{1}{2}

作图

流行的例子

(t) = \frac{2 t}{t + 2}

x/(x+3)= 9/(x+3)

\frac{x}{x + 3} = \frac{9}{x + 3}

- 6 = - \frac{2}{w}

x + \frac{16}{x + 2} = 6

(a^2-a^2)/(a-a)=8

\frac{a ^{2} - a ^{2}}{a - a} = 8