(24)/(10+x)+1=(24)/(10-x)

解答

\frac{24}{10 + x} + 1 = \frac{24}{10 - x}

x = - 50, x = 2

求解步骤

\frac{24}{10 + x} + 1 = \frac{24}{10 - x}

乘以最小公倍数

24 (- x + 10) + (x + 10) (- x + 10) = 24 (x + 10)

解

24 (- x + 10) + (x + 10) (- x + 10) = 24 (x + 10) : x = - 50, x = 2

x = - 50, x = 2

验证解

找到无定义的点（奇点）:

x = - 10, x = 10

将不在定义域的点与解相综合:

x = - 50, x = 2

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

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

\frac{11}{4} = \frac{5}{x}

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

\frac{3}{x ^{2}} - \frac{47}{x} = 16