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受欢迎的代数 >

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

解答

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

解答

x = 0, x = - 3

求解步骤

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

乘以最小公倍数

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

解

2 (x + 2) - 2 (x + 1) = (x + 1) (x + 2) : x = 0, x = - 3

x = 0, x = - 3

验证解

找到无定义的点（奇点）:

x = - 1, x = - 2

将不在定义域的点与解相综合:

x = 0, x = - 3

作图

流行的例子

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

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

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

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

x - \frac{7}{x + 8} = 2 x

6 - \frac{2}{x ^{2}} = 0

(-10x)/(x^2+25)=1

\frac{- 10 x}{x ^{2} + 25} = 1