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

解答

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

x = - 3

求解步骤

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

在两边乘以

x - 1

x (x - 1) + 3 x = 3

解

x (x - 1) + 3 x = 3 : x = 1, x = - 3

x = 1, x = - 3

验证解

找到无定义的点（奇点）:

x = 1

因为方程对以下值无定义:

1

x = - 3

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

\frac{1}{x + 6} + \frac{12}{x ^{2} - 36} = 1

\frac{y}{4} = \frac{9}{y}

6 (1 - x^{2})^{- 1} + 3 (1 - x)^{- 1} = 5 (x + 1)^{- 1}

\frac{3}{5} + \frac{7}{6 x} = \frac{1}{8 x}