6-1/(x+9)= 9/(x^2+9x)

解答

6 - \frac{1}{x + 9} = \frac{9}{x ^{2} + 9 x}

x = \frac{1}{6}

十进制

x = 0.16666 \dots

求解步骤

6 - \frac{1}{x + 9} = \frac{9}{x ^{2} + 9 x}

乘以最小公倍数

6 x (x + 9) - x = 9

解

6 x (x + 9) - x = 9 : x = \frac{1}{6}, x = - 9

x = \frac{1}{6}, x = - 9

验证解

找到无定义的点（奇点）:

x = - 9, x = 0

因为方程对以下值无定义:

- 9

x = \frac{1}{6}

\frac{1}{2 n} + \frac{6 n - 9}{3 n} = \frac{2}{n}

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

- 2 (2) + b = \frac{- 24}{x - b}

x + \frac{3}{x + 1} = \frac{5}{x + 1}

so l v e f or r, p = \frac{2 q + r}{q r}