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受欢迎的代数 >

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

解答

2 - \frac{3 x - 2}{x + 1} = \frac{x - 4}{2 x - 3}

解答

x = \frac{2}{3}, x = 4

+1

十进制

x = 0.66666 \dots, x = 4

求解步骤

2 - \frac{3 x - 2}{x + 1} = \frac{x - 4}{2 x - 3}

乘以最小公倍数

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

解

2 (x + 1) (2 x - 3) - (3 x - 2) (2 x - 3) = (x - 4) (x + 1) : x = \frac{2}{3}, x = 4

x = \frac{2}{3}, x = 4

验证解

找到无定义的点（奇点）:

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

将不在定义域的点与解相综合:

x = \frac{2}{3}, x = 4

作图

流行的例子

2/(x-2)= x/(x-2)-4

\frac{2}{x - 2} = \frac{x}{x - 2} - 4

6 = \frac{78}{w}

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1+7/(x-4)= 5/(x^2+3x-28)

1 + \frac{7}{x - 4} = \frac{5}{x ^{2} + 3 x - 28}

\frac{18}{x} = x - 3