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受欢迎的代数 >

1/(x+3)-1/x =5

解答

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

解答

x = \frac{- 15 + 165}{10}, x = \frac{- 15 - 165}{10}

+1

十进制

x = - 0.21547 \dots, x = - 2.78452 \dots

求解步骤

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

乘以最小公倍数

x - (x + 3) = 5 x (x + 3)

解

x - (x + 3) = 5 x (x + 3) : x = \frac{- 15 + 165}{10}, x = \frac{- 15 - 165}{10}

x = \frac{- 15 + 165}{10}, x = \frac{- 15 - 165}{10}

验证解

找到无定义的点（奇点）:

x = - 3, x = 0

将不在定义域的点与解相综合:

x = \frac{- 15 + 165}{10}, x = \frac{- 15 - 165}{10}

作图

流行的例子

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