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受欢迎的代数 >

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

解答

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

解答

x = \frac{5 + 33}{2}, x = \frac{5 - 33}{2}

+1

十进制

x = 5.37228 \dots, x = - 0.37228 \dots

求解步骤

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

乘以最小公倍数

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

解

3 (x + 1) + 2 (x - 1) = (x - 1) (x + 1) : x = \frac{5 + 33}{2}, x = \frac{5 - 33}{2}

x = \frac{5 + 33}{2}, x = \frac{5 - 33}{2}

验证解

找到无定义的点（奇点）:

x = 1, x = - 1

将不在定义域的点与解相综合:

x = \frac{5 + 33}{2}, x = \frac{5 - 33}{2}

作图

流行的例子

2/(5x)-x/(10)=1

\frac{2}{5 x} - \frac{x}{10} = 1

4/(x+3)-9/(x-2)=5

\frac{4}{x + 3} - \frac{9}{x - 2} = 5

\frac{1}{x} = \frac{1}{9}

\frac{6}{z + 4} = 12

solvefor x,(3w+2y)/x =4

so l v e f or x, \frac{3 w + 2 y}{x} = 4