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受欢迎的代数 >

1/x+1/(x+1)= 5/6

解答

\frac{1}{x} + \frac{1}{x + 1} = \frac{5}{6}

解答

x = 2, x = - \frac{3}{5}

+1

十进制

x = 2, x = - 0.6

求解步骤

\frac{1}{x} + \frac{1}{x + 1} = \frac{5}{6}

乘以最小公倍数

6 (x + 1) + 6 x = 5 x (x + 1)

解

6 (x + 1) + 6 x = 5 x (x + 1) : x = 2, x = - \frac{3}{5}

x = 2, x = - \frac{3}{5}

验证解

找到无定义的点（奇点）:

x = 0, x = - 1

将不在定义域的点与解相综合:

x = 2, x = - \frac{3}{5}

作图

流行的例子

5 x + \frac{1}{x} = - 6

\frac{1}{x - 5} = 0

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

1/x+1/(x+10)= 1/15

\frac{1}{x} + \frac{1}{x + 10} = \frac{1}{15}

- \frac{2}{u} = - \frac{24}{25}